I've had a Rega Planar 2, Planar 3, Thorens TD-160, AR ES-1, SL-1200 modified with a Rega-RB301 for 78 RPM discs, VPI HW-19 Jr. and Mk. IV. You can spend crazy money on this stuff. As with recording equipment, a moderate-middling investment will get you audio quality that is 80% of the way "there," wherever that is.
You don't mention your playback system, so it's hard to know what would be "synchronystic" with your system. As you move up the TT/cartridge food chain, you find that the better the table/playback system, the more it reflects what is being put into it (arm/cartridge) rather than what the rest of the system is putting into it (coloring the sound). Audiogon is a great place for deals. Most, including myself, will advise you in this first outing to buy a belt-drive table with a decent tonearm. These are simple machines that will last a lifetime. The minute you start to include auto-return and mechanical elements, you introduce the potential for more to go wrong, and more to introduce mechanical/electrical noise into the system, etc. I loved my Thorens TD-160, but it is a suspended TT (springs) and takes more fiddling to get it to sound its best. If you've never installed a cartridge, and don't know anything about turntables, start with a plug-and-play like the Rega. Seriously.
In general, I was pleased with all of these tables. They all sound different. Buying a Rega Planar 2 is great advice. They were found to run something like 1% fast. I really wouldn't sweat it. I never had motor sound issues, but then, I do have a much higher-resolution system than when I owned the Regas. Throw a nice Audio Technica or Denon cartridge on it and I suspect you'll be very happy. If you're not, you can sell it easily and recoup your money.
Unlike LMA, there is no way to audition this stuff unless you have a local audio shop that will let you. Decide what's important in vinyl playback (analytical vs. plush etc. etc. etc.) and start reading some online reviews.
The UTurn table looks pretty damn cute. I trust much (but not all) of what Mikey Fremer has to say (remember, he has $125K invested in his TT alone). A used Rega would serve you well. They are damn good tables for the money.