The pump sits in the container draws water from the bottom and the water line exits through the lid... then to the chiller if one is used, then to the other side of the tub down through the lid. No res required, no holes in the tub itself, no bubbler needed if the roots on new plants are long enough, but using the bubblers through the whole grow provides a fail safe.
I had another space about 3x7, too big for a tub. Didn't want to use bulkheads so I bought a 5 ft piece of 12" PVC tubing and end caps. Works the same way (really well too) but had issues that made it not as appealing as the tub. I wasn't trying to drill a hole large enough for the pump to fit so the pump sits just outside the tube. This meant I had to prime the pump every change out. Not a big deal but better to have the pump below the water line and forget about it except for clearing roots once a month. The second issue was the curvature of the 12" pipe. It was only flat enough to use 3 inch net cups. This could be solved but I never got around to it. The stems would get so large I couldn't get the cup out without digging all the hydrotron out and then cutting the roots until the root ball dropped. Then I would have to pull the roots out of the 3" holes.
My dream system for that area would have been a 5' long x 14" x 8" wide stainless steel trough supported with an insulated wood frame, a sectional cover system so the top could be easily accessed and modified for 3,4,5 plants. Would have been the same deal, but with the pump below the water, out top on one side, through the chiller and in the top on the other side.