Re: How would you remove this vanity
If you're trying to salvage the cabinet, enlarge the holes just enough to remove it over the obstacles. If you don't care about the cabinet, then dismantle it without disturbing the pipes and cut the debris free.
When you install the new cabinet, you'll either have to cut holes large enough or reroute the plumbing to the back wall and cut a single access point in the cabinet if necessary.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!