Cutting torch is a different animal. If it's just a large torch body you can find or may have tips that are appropriate. A cutting torch has sorta a rose head with a centrally mounted oxygen port such that after the material reaches the melting point the head is switched to oxygen with the fuel essentially being the steel itself.

I don't know what a base kit of stuff costs, but you can find kits at Nova. Tube only kits are like 80, you could braze those together. Then there are lugs sold for maybe 60 a set including BB, and then there are drops and a fork, maybe another 80. Not sure what the cheapest comprehensive kit would be, or if there is one. I buy as I go, and don't build with lugs.