[j.fro]

Congrats on making the move to coilovers!
Now is a good time to replace the top mounts on the front. They are bearings, they rotate, and they wear out. Doing it later will be an expensive PITA. You may want to look into top mounts that allow you to adjust the front camber.
You will need adjustable rear toe arms to keep from having excessive toe-in and tire wear.
I'd wait on the sway bars. See what the car's like with the coilovers. Do some autocrossing or something to really push the limits to see if you've got oversteer, understeer, or a good balance. If your tires are old/worn, replace them before any testing, as they will screw everything up.
You are on the right track about "setting up the coilovers equal" before taking it for balancing & alignment. Once you've got the coilovers on the car, measure the height from the fender lip to the ground. Get the ride height that you want and be sure that both fronts are the same and that both rears are the same. Having the rears 1/4" to 1/2" higher works for me. The alignment & balance won't be right, but it will be in the ball park. As long as you don't go over about 50mph the car will be drivable to the alignment shop.
Make sure you find a shop that's done alignments/balancing with cars w/ coilovers. also, search on this site for alignment specs. You really want to set the car up to the way you drive. Done right, it's unreal the way the car handles. Done wrong, you'll be in the trees before you know it.