OH GOD. I would NEVER get an ION turntable or something that was "USB" based.
They may be $100, but they are undescribably cheap. Platter flexes at the sight of a gnats fart, the stylus tip is hand crafted from the edge of a Coke can, and the DC motor is probably grafted in there from an old RC car.
In essence, playing records on an ION (or similarly cheap plasticy junk) record player, will turn your record into a grated block of cheese; in terms of sound quality and the plastic itself.
The truth is, is that you need a record player that won't eat your records, and will be built to a high enough quality to actually perform it's task with as few of speed irregularities, and pops/noise as possible.
I will suggest (for starting) a Technics SL-1200MK(2-5). Now, new, they are rather expensive. However, it's not uncommon to find them for sale used. I got my MK3 unit for $100 (but it was used as a DJ table at one point...).
No matter if it was DJ'ed really, so long as all the bearings are in check, the wiring is in one piece, and the platter doesn't wobble on the bearings, it should be good to go.
The SL-1200 series have an uncommon combination of holding speed extremely well, being built for demanding conditions as well as superb accuracy, and rather cheap for the amount of engineering poured into them during the 70's.
However, if you aren't keen on buying a deck, or setting one up (as with a SL, you will need a pre-amp and something to get the LP to Digital), then look on the web for local companies.
It's LA; there should be SCADLOADS of stuff out there.
If you can't find a service like that directly, mixing studios/recording studios/DJ studios that operate around can likely tell you who would be in the know.
Google is also a friend