When DD had my 1st DGS we had arranged to stay for a week as we lived 70 miles away. DD had an emergency C Section, baby arrived early so it was a mad dash to get to the Hospital. I provided all the transport as DD's OH doesn't drive. I helped out without interfering, DD would have soon put me straight, ran errands, went shopping. Best of all we took them to register baby' birth. Our help was much appreciated but any longer than a week would have been too much, my DD is very independent
gmelon my DD would definitely tell me if I'd overstayed my welcome, yes she wanted me more than Mil although she lived nearer.
When DGS2 was born last year I had moved to about 10 miles from DD, I was on hand to do transport & generally help out but I let her choose when she wanted me to go & help. I don't see my DGSs every week as DGS1 is at School (he's 8 next month) & there life is busy but I'm now on hand. Mil & Pil play little part in DGS's lives as they rarely visit, DD usually goes to them once a month for a duty visit.
All relationships are different but DD's usually want their own DM around with Mil taking a bit more of a back seat. Bite your tongue, your time will come as DGC gets older