The optimal method for escorting such large creatures out of the house is to use a plastic bowl or container and drop over the top of them, then carefully slide a stiff piece of cardboard (or if none is handy, a magazine or sturdy piece of junk mail) under it, and carry it outside (having already opened the door first so you don't lose it when shifting to open a door.) Technique refined by me and I get calls from neighbors on occasion to come catch snakes or spiders in the house. (For snakes use long kitchen tongs and a straight-sided waste basket.)
After mowing the front I'm indoors cooling down before part two, the string trimmer around the edges and near the soaker hose (that I need to not hit again with the mower). Then part three will be the sharp-shooter shovel and digging up weed trees from flower beds and other places they don't belong. You have to get the roots or the keep coming back. I also need to transplant a few cannas and irises back into the beds they've sprawled out of (past the edging). They make it difficult to mow and edge in those spots.