You will get numerous opinions most if not all will be bonifide and this question has been often asked at a place such as this. I'll give you mine based on what I know and own (KAB modded Technics SL-1200MKII).
I reccommend that you go to KAB USA website. Kevin (the owner) has a long tradition of supplying the venerable Technics SL-1200mkII series of turntables. Go and read about this table at his site. I'd easily recommend that you pick up one of the models listed and look at adding some KAB mods to it. I'd suggest these.
1: Unless you buy the T.O.T.L. SL-1200MG5 which already has better arm wire, have Kevin rewire the arm with Cardas wire.
2: For the money you want to spend look at getting the out board power supply
3: You can at the same time or later on add the fluid arm damper.
IMO you will not find a better turntable for the money. With the SL-1200MKII series you get 30 yrs of Technics R&D engineering and manufacturing. You get the most stable drive system available to the typical consumer with the Quartz lock direct drive setup. You get a very decent tone arm, don't let anyone tell you its a let down, they dont know what their are talking about. It's arm is easily as good as any turnable under $1500 with another arm. The setup allows you to adjust VTA (vertical tracking angle) simply by turning up a ring like you'd turn a camera lens focus ring.
You get, especially with the KAB mods noted here a killer turntable for around $1000 and you'd be hard to beat that with any other choice. You may have to wait a while for Kevin to finish with the mods but it will be worth the wait in the end IMO.
OBTW with the detachable head shell you will find mounting cartridges to be much easier and if you wish you can buy extra head shells and other cartridges to swap out as needed. Oh and again don't let the blathering class (often dressed as so called [uber] audiophiles, IMO guys often with a superiority complex) tell you a detachable head shell is a break in the strength of the arm and thus a weak point. In theoretical truth it's weak point but in reality the standard bayonet mount engineered on the S shape tone arm is as ridged as you will ever need. It's not supporting a truck's weight.