really no need to "age" the water now a day, the aging process is to remove chlorine from the water and usually that will take place within 24 hrs.
You can use Prime to treat your tap water and can start the cycling process ASAP. get a API master water test kit for fresh water and you can save a trip to lfs. some lfs will test with similar test kit (which is good) and some will just use some all in one test strip which could give in correct results.
adding as much water from the old tank to new tank can also help.
I don't recommend using feeder fish to cycle your new tank as they may carry disease or parasite into your new tank, unless you quarantine them first. and they are not healthy for your rbps if you leave them in the tank for your rbps to eat.
as long as your water in the new tank is treated (and water temperature are the same) you can move the filter and fish from the old tank to the new tank at the same time as the same amount of fish will produce the same amount of bio load as they were in the old tank so as long as your filter can handle their bio load in the old tank it can handle the sme amount of bio load in the new tank. However, you still need to upgrade your filter to match the required turn over rate for your new tank. just add the new filter in together with the old filter and the new bio media in new filter will be established soon.