Go to Drs Foster & Smith and order their Brine shrimp hatchery kit it's not expensive and you'll get 3 'starter packs' of eggs and salt - all you need to add to the kit is a 2 litre soda bottle and a small air pump. As you want to grow them to adults then you should also get a couple of packs of Artemia Food (you can make up your own recipe but better to use the ready made stuff untill you get established).
The kit basically consists of a base that the soda bottle screws into (upside down), and a connector for the airline, some people make their own, but this is much easier than trying to drill a holde in the bottle cap and then fit an airline fitting into it (water tight) and then find some way of making it stand up.
Stand the pump on a shelf or something so it is higher than the top (bottom as it's upside down) of the bottle so you don't get water siphoning back if the pump stops, and also to help when you come to harvest time.
Once you've put it together you fill it about 2 thirds to 3 quarters with dechlorinated water, add the egg/salt mix and turn on the air, if you point a reading lamp at the side of the bottle (about 6 - 8 inches away) it keeps the water between 78 - 80 degrees. If you can keep it around 80 degrees you'll have baby brine shrimp in under 24 hours, at cooler temps it can take longer (no cooler than 75 degrees though).
Harvesting is when you have to start doing some work - I shut the air off and then leav it to stand for 30 minutes (their instructions say 10 but 30 is better. You need to darken all but the bottom 2 inches of the bottle - I wrap aluminum foil around it making sure to cover the top - the shrimp are attracted to light so they will swim to the bottom while the empty egg cases will float up to the top (most of them at least). After 30 minutes hold a container up above the bottle, disconnect the airline from the pump and hold the end in the container, then lower the container and airline down to below the botom of the bottle (best to have the hatchery on a shelf or edge of a countertop to make this easier. The shrimp will syphon out through the airline into your container, when you see the last of the water coming through try to stop before the gunk comes out.
Now you have your baby shrimp you can either use them to feed fry, or freeze them, or grow them on to adulthood.
As you said you want to grow them you will need to have your growout tank ready (I use a 1 gallon glass jar but a 10 gal tank will do, as long as you have a large enough airstone and pump to keep the water churning all the time (thats where it's easier with the 1 gallon jar) you don't want any 'dead spots' as they will become 'death spots' for the shrimp. You don't have to use a heater, a lamp (incandescent not flourescent) will keep the water warm enough (75 - 77) if it's too warm you will be doing water changes once or twice a day to stop it from smelling!
The water in the tank has to be salt water, many places say you need a hydrometer to get the salinity exactly right, but I found that 1 tablespoon of aquarium salt to every quart of water workls for my setup, if you choose to get a hydrometer (or if you have one) just google "growing brine shrimp" and you'll find plenty of sites that tell you the reading you need).
Now just pour the shrimp into the tank and start the air. It's really important that you don't overfeed the shrimp, too much food in the water and they'll just die off ( I did this the firast time I tried when I was using a 6 gal tank, went to check it after a couple of days and the smell from the dead shrimp and the all food was terrible). The shrimp won't (actually can't) eat for the first 12 hours or so because they don't have mouths or stomachs at first, they have a 'yolk sac' which they feed off (it's this yolk sac that makes them such good fry food) so you have this 12 hour period in which to add the food gradually (you get a tiny spoon with the Artemia Food) add one spoonfull at a time into the fastest part of the water stream, that way it shouldn't clump up too much. The food doesn't dissolve in the water but you want it to look as if it had, keep adding food untill the water turns cloudy (like a bad bacteria bloom), you want it to be cloudy enough so that you can only see halfway through the tank from front to back, then stop and leave it untill you notice it clearing a little, then add some more food to get it back to being cloudy again.
Water chages.......as the shrimp grow they molt (about 12 times before they become adults) and their molted skins will lay on the bottom of the tank. If you don't over feed then you won't get a build up of old food on the bottom as well, that means fewer water changes. You should be able to go 2 or 3 days (maybe more) before you need to clean out the bottom. What you will do when the time comes is turn the air off and move the light to a couple of inches above the surface of the water ( if you can wrap the tank to stop light getting in the sides that will help also) the shrimp are attracted to the light and will swim to the surface, keep checking and when you see most of them are at the top (might need a magnifying glass the first time or two) then you can siphon the gunk off the bottom of the tank, when you cleaned it up move the light back, top up with salt water (1 tablespoon aquarium salt to a quart) and turn the air back on.
Brine shrimp take about 8 days to reach adulthood and can live for up to 3 months if cared for (water changes), as they grow the concentration of food should be lowered (so you can see 3 quarters of the way through the tank. Once the first batch of shrimp is established in the growout tank you should start another batch (I start the second batch the day after I put the first into the growout 'tank'). It's interesting to be able to see them develop so a magnifying glass (or a jewellers eyepiece) is good to have untill they grow a bit. If you're lucky and keep the water quality good and the salinity low then the adult brine shrimp may spawn (they can produce around 75 baby shrimp every 4 days) and save you the trouble of having to hatch them to keep topping up your supply.
When it comes time to feed them to your fish you can use a brine shrimp net (Petsmart sell them) to net out the adults, rinse them in clean dechlorinated water and then pop them in your fish tank and watch the fish chse them around - brine shrimp can live for 4 or 5 hours in freshwater.
If you're feeding baby brine shrimp to fry then you need to siphone them out into another container then filter them through a coffee filter paper (wet it first), when you finish filtering them turn the filter paper over and dip it into some unsalted dechlorinaed water, the shrimp come off the paper into the water and you pour the water and shrimp into the fry tank.
This link is to an article I based my method on (it's a little more complicated if you follow his instructions word for word)
http://www.aquarticles.com/articles/management/Berg_Growing_Shrimp.html
Sorry this is such a long post, it may sound complicated but it isn't.
thx again SCGeordie and Laticauda for the great responses! I greatly appreciate it and Ill let you all know how it goes. Hopefully its a success!