We just redid our floors recently and we went with oil-based. Oil based is more durable but has a longer dry/cure time. I would give at least 6 days (day 1- sanding/stain put down) to day 6 putting furniture back in place. (or moving in).
For waterbased, it is much quicker and you can move in 24 hours after last coat, and the coats can be put down in 2 days total. So I'd push your move back to Monday or Tuesday and let the refinishers start Thursday with water based.