I have a piece of plywood under my lathe that slopes from the wall the lathe is against, towards the front where I stand, this makes clean up much easier, but, I lose that area under the lathe for anything but deep storage.
Next spring, I'm planing on a bit of a reshuffle of the Dungeon, one thing I'm seriously looking at is putting the bandsaw where the lathe is now, and having the lathe sharpening station beside the bandsaw, then the lathe would be mobile (it has those funky cool lock down casters on it) and I could move it into position when I want to use the lathe, or push it into a corner when I don't want to use it. I also want to modify the lathe stand, as my original design, though sturdy and stout, the one leg is always in my way.
It would not be a major mod to the lathe stand, but it would be a good one.
Next up, the back bench on the SawStop is not what I expected, it will be going too, I will shorten the rails on the SawStop and turn it 90 degrees so it runs the length of the shop and then build a stand alone workbench, not sure which style yet, but I'm leaning towards Christopher Schwarz's version of the Roubo bench, all be it a bit shorter than his (my shop is not that wide).
My point is I really do understand your desire to get the lathe out from the wall and make it easier to use and to clean up
Is your lathe mobile right now?