Hello Mike and welcome, for control boards, may I suggest the Pololu JRK 12v12
http://www.pololu.com/catalog/product/1393 , one per motor, 7 wires, no code to write, one usb cable , simple uso commands, and they will handle 30 amps continuous with heatsink and fan cooling.
Ok the potentiometer is needed, one per motor to "tell" the control board "where" the motor is, so when the motor gets its next command, the pot supplies feedback to allow it to get to that point.
A single turn pot is fine, usually 5k linear pot is sufficient and cheap. Multiturns are good but expensive. Start with single turns first. I did and still use them on another frame I have.
For pot connection refer to these photos.

using a cut out lever so the lever "slides" with the bolt but moving the pot.

2 levers moving the pot.

gears on a multiturn.
Your frame could be mounted on a another frame with a pivot point under the seat at the right balance point. As you are planning to use wipers, you can mount them underneath, but as far away from the pivot point as possible, depending on the weight of the frame you have. Also at the back with levers connecting to shoulders is the best overall for leverage.
And by the way, my welding was lousy to begin with and I still have off days, but it holds!
Any more questions, just fire away.
Cheers, David.