I hope you have a smooth birth!
If you hope to be home on Sunday though, you may want to re-schedule the induction for Monday...especially if there isn't a specific medical reason for doing it Saturday.
Ask them what your Bishop's score is (if they haven't checked already)...if you have a poor bishop score then an induction can lead to a very long birth process...meaning your babe probably wouldn't arrive until Sunday, and probably wouldn't be discharged until Monday. And you mention having AROM to start the process and "being on a clock" after that...many hospitals do have a "clock" and if you do "time out" into a cesarean you will certainly be in the hospital on Sunday!
Obviously you know what's going to work best for you and your family
and as a doula I've seen inductions that go smooth as silk...but most of the inductions I've seen have been looooong births (especially if they start with a poor bishop score) and mama is rarely ready/able to jump up right after the birth! So if you have plans for Sunday it might be worth putting off the induction a day or two.
happy birthing and anniversary!