As far as the location, yes, learned about the less than 3 feet more than 3 miles rule. Plan to leave it there for a couple days so they can re-orient to returning to the box. Then at night, will strap it together and bring it over to the backyard. Will put obstructions in front of the entrance so they have to re-orient when they leave in the morning. Also, we sprayed a beach solution all over the area of the “sofa” where the hive was, and moved it more than 3 feet away from where it was so, hopefully they won’t try to go back to it. The box is currently in it’s place. Technically, they were in the loveseat, the couch you see in the background of the final box picture is not the couch that they were in.

For the bee vacuum, I got a watertight clear plastic bin from Home Depot, a 2 1/2” pvc threaded union, short section of 2 1/2” abs pipe (which I cut down to fit in the bin) with a pvc cap. I drilled a bunch of smaller than bee holes in the pipe. Because the threaded union was pipe threads, it didn’t cinch down tight, so I drilled 2 1/2 inch holes in Bondo spreaders and used them as washers/shims. This is where I connected the shop back to provide the suction.
I got a couple of 2 1/2 inch waste gates and a 10 ft hose meant for dust collection systems. One waste gateway I put on the opposite end of the suction connection and attached the hose there. The other one I put in the lid, and put a screen on the inside of it to keep the bees in. The the waste-gate in the lid is the means for adjusting the amount of suction at the hose end. I did leave the vacuum running the entire time the bees were in the vac for ventilation purposes.
Fully understand we will still have bees in the backyard. But now the pool will not be between the bees and the pond. Also, I plan to put a water source right up next to the hive.