Chris: Harbor Freight sells a set that is suppose to be pretty good and they are cheap. If you look on E-Bay there is always some for sale dirt cheap. I don't know what kind of quality you will get. Penn State Industries sell some fairly cheap turning tools, I have some and they do a real good job. Regular wood chisels may be a bad choice, first they aren't designed and sharpened to the right profile to use on a lathe. Could be a safety issue. That being said people use all kinds of thing for lathe tools, screw drivers and allen wrenches come to mind.
Lathe work is relative safe but you need to at least use eye protection and better yet a face shield. Things hurt when they hit you in the face, not that I ever had that to happen.