I am not in the welding field, but want to give you some items to thinks about. There are many variations in being a welder. Do you want to do the same thing every day, like on an an assembly line? Are you willing to work away from home for extended periods of time like working on pipelines? Do you want to join a union? Do you have a fear of heights (for working on skyscrapers)? Would you want to work in an autobody shop?
I would suggest finding some various types of companies that hire welders or looking to hire welders. Call them and explain that you are interesting in becoming a welder and ask your questions. Who knows, if they like what they hear from you, maybe they would send you to school for it.
Also, contact your local Welders' union (UA Local 562 Plumbers & Pipefitters) and ask questions.