Which turntables?

By all means keep the yamaha PX-3, or sell it to me. They are awesome. Linear tracking, heavy platter, automatic, and it does an excellent job playing records. It is one of my favorites. If you want to sell it, please let me know.

The Yamaha PX-3 is a direct drive table from the early 80's.

It is an excellent product as were most of Yamaha's belt and direct drive tables. Although they did not receive the notoriety of the Micro Seikis, Denons, Technics, etc. Yamaha's tables were well designed/built. I owned a couple and the YP-701 is one of my personal all time favs.

If in good condition, I would give the PX-3 serious consideration.

IMO

The Sony PS-8750 is a real winner as long as the motor is speed stable (Dekay's test is the one I would do). The other two are good tables as well. FWIW, I find that the big brothers of the PX-3 don't deal terribly well with low compliance carts (so, jumping to conclusions as I am sometimes wont to do, I expect the PX-3 wouldn't either).

I'm no expert but I have a Denon DP 62L ... seems like a great table and I picked it up for a song but I matched it up with a Sumiko Blackbird. The VTA adjustment on the Denon can’t quite come up enough to work well with the Blackbird. The body of the Blackbird rides really low and I'm thinking I might need to make a switch. I had my local turntable expert double check - the VTA is at max and I even switched to a thinner mat in hopes it would be enough. It's really tight ... I should have done more research.

I really enjoy the sound but I feel another financial beating coming on. Just a word of advice ... if you choose the Denon, pick your cartridge carefully. I'm not sure how similar the tonearms are between the 62L and the 59L but they look very similar.

Vinyl offers far more nuance, and the potential for just plain fun in listening, than just about any other format. So, why don't you just listen to all three with the same cartridge, and see (hear) which one does the best job of letting you forget about the problems at work or ... When you can determine which one makes you log the most hours listening, you'll know which one is the best. Trust your own ears.