There's a lot of heated advice about your DIL being entitled, about free care, and nasty comments about parental anxiety. They don't help, they just wind it all into an unnecessarily antagonistic scenario.
I'd encourage you to put this aside, and recognise that your DIL is presently a bundle of nerves, with no experience of what's to come.
I remember vividly how whilst my FIL was making grim jokes about childbirth, my MIL was gleefully anticipating taking my as yet unborn son out on all sorts of trips - he wasn't even born yet, and her talking about taking him away from me all the time was incredibly upsetting!
Grandparents anxiety is also very much a thing. She also went a bit bonkers near the birth - kept making rather mad suggestions then taking them back (like coming to drive us to the hospital when she lives an hour away in good traffic and we live a 5m drive from the hospital, wanting us to come over to theirs to do a show and tell for our son so all her friends could meet him when he was a week old and I was half naked half the time).
I'd leave it at the offer of having the baby once a week, and work out finer details much later.
I'd also add that whatever routine I've had with my son, it's never lasted more than 3 months before a different routine takes its place.