dilkes said:
1. Would a hub motor on just one of the two front wheels work/make sense -- or would it cause the bike to sway to one side?
It will, but you'd quickly learn to handle it. My old Delta Tripper used the right rear wheel for motor power and the front for pedal power. Was easy enough to deal with; was pretty low power. My SB Cruiser trike is a lot higher power, and while it has motors on both rear wheels, I usually only use one for cruising, the second is to help with startups and hauling a heavy load (especially with the trailer full of hundreds of pounds of whatever).
2. Can a motor be placed in each of the 2 front wheels and both be controlled by the same throttle? Does this make sense?
Yes, there's a lot of 2WD threads, and various ways to do this. Teklektik's Yuba thread probably has the most details on exactly how to wire this.
I'm not sure a middrive thru an 7-speed IGH is a good idea unless it's lower power and soft-start, because it's possible to break the IGH gears; it's happened before here on ES. (more speeds means gears are thinner, and easier to break).
*something* like it isn't enough to give specific recommendations, because the way the wheels mount may be very different, and might be impossible to mount a typical hubmotor to. While there may be other solutions, they can be expensive or complicated (or unreliable).
If the wheel mounts are exactly like the linked trike, then you can probably use almost any common hubmotor that fits the dropout width (probably a front hubmotor), that has disc brake rotor bolt holes. Might need a custom torque plate or torque arm, though.
To find out which one would work best in the wheelsize you need, for the situations, terrain, and loads you have, you can go to the http://ebikes.ca/simulator and read the whole page, then play with different systems of battery, controller, and motor to see what would give you the results you like. Then you can give us detailed info on usage/terrain/range needs/etc and the Wh/mile estimate it gives in the simulator for your chosen system, along with the details of that system, and we can give an estimate on the battery size needed for the application.
If you don't want to go to those lengths, you can probably use any basic kit to make the trike move...but it'll depend on the terrain, situations, loads, range, etc., for the "wattage" you'd need, controller size, and battery size/etc.