Patriot, Getting a lathe is only part of the equation. When I built my shop back 32 years ago, it was designed to carry a lathe and a milling machine. The concrete floor is only 4" thick but is sitting on footers, compacted granite sand(native soil) and bedrock. The floor has rebar AND remesh in the work shop area. Just remesh in the vehicle area. Hindsight? I should have done both for the entire floor. However, the lathe sits near a corner where the floor sits on intersecting corners of the footers. The leveling screws are set on 1 1/4" steel blocks. Very solid. My lathe weighs about 2500#. I'll post a picture the next time I get over to the shop!
I used to work in THE state of the art Stainless Steel fabrication facility operated by the DOE, many moons ago. The floors in the machining area were 3' thick reinforced concrete to manage the vibrations for the heavy tooling. Vibration, (as well as constant temperature) is/are real issue(s) for finish and tolerances when you are working down to . 0001" or less. (they routinely were working in . 00005"{50 millionths of an inch}tolerances) Correct tooling and cutter geometry, feeds and speeds, figure into this also, but we are talking about the very basics to start.
The lathe I have was not my first choice in tools. But at the time it was the best I could afford. My first choice was a 15X54" LeBlond Regal. I just could not swing the $14,000 asking price (1982). The lathe I have now cost less with all the tooling. And it works great!
Think about the floor you have in your shop. Design a foot print and where/how you will orient the lathe to make best use of through the head stock feeding and tail stock removal. What is the concrete sitting on? If you have to cut out a section of floor and compact the dirt, put in a footer for support or dig down? This is the best time to do it. Or, just limit your self to light weight tools like an older South Bend bench lathe, for example. Heavy machines to need that extra support. It really depends on what YOU need. Dont try to move the cart before you have horses. IMHO! GregH