Oh, I'm so happy for you both!! The hair grows back amazingly quickly.
We don't have any lawn, but during Smokey's convalescence, we bought a small patch of turf from Home Depot, to serve as his official potty area, that we could carry him out to, and then set him down. It worked.
Also, it was a year or so before he could walk again on our hardwood floors.
We have area rugs, and he would be marooned on them. So we bought a bunch of inexpensive ( and ugly) carpet runners from Costco, and made what we called puppy trails from room to room. Also, a baby gate or board to block off the stairs at the top.
It's all worth it. Cheers to you and Lincoln!