I think this is ultimately great advice but I'd like to offer another perspective based on my experience over the last ten years. I decided to get back into vinyl and I was immediately drawn to vintage Japanese direct drive decks because many of the systems I loved listening to in the 80's were built around these.
I bought a few different vintage TTs in various different conditions and they each had a minor problem or drawback that prevented me from being able the just enjoy listening to the music. I didn't have enough knowledge or time to fix the glitches so I remained frustrated.
Please note, none of these glitchy turntables were bought from the awesome sellers on this forum, so you would probably have better luck buying here than I did elsewhere.
Eventually I bought a well reviewed, brand new, turntable. It cost me around $500. It was really easy to set up, came with clear instructions and worked perfectly out of the box.
This simple, reliable TT gave me many hours of happy listening and reignited my love for vinyl. About a year later I was back on the upgrade path and buying good quality vintage Japanese decks, but now I had a clearer idea of the sound and reliability I was looking for.
So, I agree that there are some amazing bargains and lots of awesome sellers on this forum. Many will be happy to give advice in setting up your TT and helping you get the most out of it. On the other hand, a new deck, with full warranty and support from a credible retailer and manufacturer can be an excellent, hassle-free introduction to the world of vinyl.
I still have the turntable I bought new and I could probably sell it for around half of what I paid for it, or keep it to use in a second system so the economics are OK given the hours of enjoyment I got out of it.
The only other things I would add are:
1. Decide if you want a dust cover/lid. Many turntables don't come with them and lots of audiophiles don't bother with them but personally I prefer them. Maybe I'm dust phobic...
2. Fully manual turntables may have some sonic advantages but I do like an autolift, autostop or auto return because I often get distracted and with manual tables have come back up to 18 hours later to find the platter still spinning and the stylus slowly wearing down.
Good luck and enjoy your vinyl journey.