To the op. Welcome!
be careful cuz this is not a question of just finding a shop, you must find one experienced with vintage and classics. Depending on where you;re located estimates can vary wildly but I bet, I just bet quotes of 1,000 dollars and up won’t be unheard of. If you still decide to pay up and enjoy owning it I guarantee that other things, at times costly things will come up. This is the big judgment call for you. Me? I scored mine cheap and it ran, idled, and was titled but man did I spend $$ once it had some needs cuz at the time I was just getting my feet wet with it but as time went on, thanks to this crew I improved but I still spent a lot of time researching and tracking down various parts....not even factoring the amount of garage time I put in. Yikes.
now? I made a deal with myself: do all I know how to do, spend $ reasonably for things I don;t and knock on wood, if something big and costly happens I gotta hang it up as I put too much $$ in over the years. Just think it over before you proceed cuz even the most carefully restored bike STILL needs some kind of attention and parts? Well, even if new etc. everything works....until it doesn’t. $$
good luck and you came to the perfect place. ��