Accident in the bath! Poor you. I've given up on baths now, similar reason.
I have what I call a 'plate' with one front tooth and a few back ones. Not sure if that's the same. Back in 2005, so can't remember the details.
I don't think it took long, first the bad tooth was removed, it was dead anyway. Perhaps your extractions will be different.
Then an impression on some stuff like bluetack. The dentist I was with had a workshop on the premises where they made the plate, and I got it the next day.
The front tooth that was added has never looked exactly right, sticks out too much, and not a good colour match. But I just wanted to finish, so I accepted it.