Turntables are rounder than they were twenty years ago. I think I read that in TAS.
Seriously, get yourself a good used table and you'll have everything you need. I went with a SOTA and I love it, but there are lots of great ones out there. $1,000 can buy you a lot of used table.
As for what makes a good table, it depends on what you're looking for. Personally I wanted a table with a lot of mass for very stable imaging which I have in spades with my current rig.