Seeing as no one else has jumped in here, I’ll offer my opinion.
Back in High School one of best friends had a beauty of a pool table.
As part of his parents de-lousing of the house when he left for college, they had the table re-fit for felt and new bumpers put on.
From what I saw of the guy doing the refinishing, it didn’t look too easy. The guy dismantled the hell out of it. From what I could tell, he used quite a few specialty tools to get at all the parts and mechanisms (I’m not much of a handy-man, so I’m not positive on that).
But more important than the new felt and bumpers was his ‘tweaking’ out of the table. He spent a good deal of his time testing and adjusting the angle, level, and overall ‘feel’ of the table.
That skill alone seemed worth the money- it’s harder than it looks.
Definitely go with the pro. You could probably do it yourself, but the smallest error would mean a marred surface, so you might as well let an expert do it. Get it leveled, re-felted, re-cushioned, the whole bit. It’ll be worth whatever you have to pay the guy.