I just want to update everyone on my progress. Today I had a successful test on my layout controlling a total of 8 inputs and 16 outputs (8 switch coils and 8 indicator lights). Here is a picture of what I have now:
It's a jumble of wires now, but I found some solderable breadboards that have the same layout as the larger solderless ones I used. I will be able to fit enough components to control 8 switches (16 inputs/32 outputs) on 3 boards. I should also be able to clean up some of the wiring and add screw terminals for connections to the layout.
Thanks to everyone for your help. You gave me a lot of great ideas and kept me from making several mistakes.