Mark, I just this week managed to get the small darkroom I have been gathering for the last 2 years, up and running.
Built around a Durst M600 on a rolling metal pc printer cart, with wings that fold out for additional shelve space, it is currently located in my son's carpeted, x-bedroom.
Located against an exterior wall, next to the corner, there is a set of three folding wood TV dinner tables running alone the interior corner wall. On top of these, I have a temporary darkroom sink, without drain, made of a section of 5x5 foot cardboard, duck taped together and lined with a heavy mil plastic sheet. The sheet was lain in and taped to the upper edges so as to avoid any need for taped interior corners. It is about 12 inches deep. This sink is wide enough for 11 plus inch trays, but I only have purpose made darkroom 8x10 trays on hand.
Because I am only doing small prints at the moment, nothing larger than 8x8, I have taken Gladware 104 oz. containers and have set up a printing line of developer, stop, fix #1 (and 2 as needed) HCA and a large plastic dish basin from Walmart for about a 3 gallon holding bath. If I need the 2ed fixer tray or a toner tray, the holding bath can go on a cabinet at the developer end of the sink.
All my washing takes place in the bathroom, when I'm ready to transfer prints and other than loading tanks, that is where I develop roll films. Washed prints are brought back in to be squeegeed on a large, thick piece of Lexan that sits, leans on top of a large plastic cabinet that holds photographic odds and ends.
Jugs of distilled water for chemistry and jugs of tap water for water-stop and bath are ready for use at a moment and the temp of the liquids is a constant 68-70F. These are mostly stored under the sink tables. When I'm not developing on the line, the PETE Gladware trays have tight fitting lids on and because they are deep, I simply consider them to be just another jar for storing chemistry. Any small spills in the sink are cleaned up with paper towels at the end of a session and if I desire, I can print and developer from a small stool without any trouble.
All mixing/bottling of liquid chemistry and filling/dumping of trays takes place in the loo. Dry chemistry is compounded in my little studio at a work bench and scale.
My line of chemistry runs toward the enlarger as I don't want the developer too close to that piece of kit and I don't leave water baths uncovered overnight. Central air takes care of climate control.
I could comfortably move this setup into a large closet or moderate sized walk-in and never miss a beat for want of running water for that soon to be replaced paper sink, but as it will be wider than what I have now, these measurements are adjustable.
A quick check with a tape tells me all this is now in an area of 5.5 x 7.5 feet.
I hope this helps. As has already been said, you have plenty of room, so show us some prints when you are up and running.