HI Dave,
I haven't tried a Uturn turntable, but I have the Pro-ject, and can say it's just fine and certainly a good place to start. Pro-ject does offer tweaks (acrylic platter, speed box, etc.) to step up its performance, as well as upgrade options, not to mention their wide availability and competitive pricing. The Debut is a nice, simple table; easy to use and not fiddly at all.
I agree with the other posters; getting a good used table is a great approach, especially since appropriately packing a turntable to survive shipping seems beyond the ken of many or even most sellers. If the local Craigslist is unavailing, you might find a stereo store that handles used equipment. In the Seattle area, for example, I was just in Hawthorne Stereo the other day and they had quite an assortment of used tables. That's not to say turntables can't be shipped; they absolutely can; I've had no problems with shipments from online retailers, it's just the private-party sellers who've been spotty at best.
I'd say, though, that if you find you really enjoy vinyl, this first turntable may not be your last, so perhaps which particular choice is less important at this point than going for the first good one that comes along and jumping in.