Are you moving to another area in your city or state? Or are you moving to a whole another state?
If it's only going to be about 20-45 mins it is rather easy believe it or not. I recommend getting a brute trash container and put as much of your cycled water into it so that when you get to your new house you'll be able to use the water. Now as far as moving the fish goes, simply get a 5-15 gallon bucket or pail add water, net the fish, and then add them to the pail. You will want to use a battery operated air pump to provide them some oxygen during the move. You can put a cover on if you wish but not necessary.
When you get to your house, simply unload the tanks, place them where you want them,and begin refilling and add your fish.
If you are moving to a another state where the drive is going to be hours away, you could also do as above but others may recommend bagging the fish but I think with the battery operated air pump you have about 24 hours so you should be good. I have moved a few times and have never ran across a problem using the method I described.
