OK, this is good. Budget known. Is your 360 a complete engine?
What parts are missing from the engine?
On a cam, you'll need to help here a little bit on the driving RPM range of the car. OR, a gear ratio and tire size would help. Once I know this, I'll recomend a cam.
I would like suggestions on cams, pistons, rebuild kits, carb, manifold, heads, torque converter...
On rebuild kits, click here; http://www.summitracing.com/ and then call them up direct. They will be happy to sub out parts for others in there kits. Like pistons and cam.
The intake and carb can varry alot. Your heads, the stock OE castings, are all you'll need. I would not go to a 2.02 valve. Just back cut what is there.
If your a little bit of a do it yourselfer, a parts washer and bench top blast cabinet are very nice additions to a home shop. So is a wire/grinding wheel.