Hi PeeWee,
As to variable speed motors, one option (assuming you aren't blessed with 3-phase in the garage, and don't want to shell out £££ on generating it from single phase) might be to try to locate a motor from a discarded treadmill/running machine. Apparently these can be found littering kerbsides in the US, but are rarer here. My faulty treadmill came from Fleabay £13.51 on Fleabay and was only 3 miles away from me. These are permanent magnet DC motors, which will run in reverse, and allegedly 1.5 or 2HP, but in reality rather less. It's usually the control electronics which have let the captive smoke out, though on mine the problem was much simpler and took 10 mins to diagnose and fix. But the preset speeds from the controller were less than ideal, so I lashed out £73 for a US made KB electronics control board from STM in Winsford, which works the motor just fine on a breadboard set-up. That's as far as my project has got at present.
So you might haunt Fleabay for a non-working treadmill, then get a control board to suit its motor. Let me know if you follow this route, and would like any help on choosing the right KB controller to suit it.
Note added having read John Hill's post: The KB controller does the rectifying itself - you connect it to the mains with a 13A plug, and pulse-width modulated DC comes out.
Andy