If you are making selfbows, or board bows, I would go with the bandsaw. I started out with a 9" Delta bandsaw. I used it to rough out osage selfbows from staves. I had it tuned in good, and a sharp blade on it. I just took it really slow and was carefull with it. I have a table saw, but I have never used it for making selfbows.
Whatever you decide, check your local craigslist.com site. You can get great deals on used tools. I would prefer an older well built tool than some of the newer plastic ones in stores today.