how to keep a wet edge applying poly to the floors of a whole house
I see the pros use a large applicator, specific for floor finishing, looking a lot like a household mop. Not the old stringy style, but a sponge mop, theirs having a cotton pad instead of sponge. This way you can cover a lot of area. If any of the doors have the flooring running across the door rather than running through it, cut along one of the joints in the floor. The lap of the finish will be disguised by that joint. This will give a small bit of relief from the hustle.

If you go this route, have another person to check the progress and quality of your passes with the mop. A 4" brush is used to cut in the edges before "mopping".