Glenn, my first 'shop' required moving tools to shared stands too. I had a rack that held each tool on a platform that then mounted to a common stand. Since I was doing only flat work at the time the exception was the table saw.
I would submit that turning so addictive that the lathe will quickly replace the TS as the goto tool and require center stage and a dedicated stand even it it is a rolling stand that gets pushed out of the way for an occasional flatwork piece. Turning shops often have a 'work triangle' with the lathe, sharpening station, and bandsaw being the principle tools. While the bandsaw is only used to prep blanks, the sharpening station gets constant use while turning to keep the gouges sharp.
Retired - when every day is Saturday (unless it's Sunday).