There are multiple questions about expressing to family/friends that you don't or might not want children.
I personally feel that my father's side of the family didn't do a great job about acknowledging that I might not have children while my mother's side was fine. My father's side is 2 grandparents + my father, my mother's is 2 grandparents + 3 girls. I am an only child and the only one of my cousins old enough to have kids.
The first ones will regularly talk about the fact that they would love being grandparent / great-grandparents and would have some of the reactions pointed in previous questions such as "you are still young so it's ok to don't know" or "anything could happen, you could be sterile, gay, even though I'd prefer you wouldn't, and I'd still love you". Those specifics example are behaviours I'll do my best to avoid if I have children one day.
The other part of the family didn't talk nearly as much about my hypothetical children but still was clear about the fact that they'd prefer me having children over not having some. However as I said it didn't feel as pushy at all.
I totally get where that wish comes from: they're parents, it was a good experience and they want me to have the same and have a chance to participate a bit in raising another child. Also, it's their feelings and they're entitled to have them. It isn't far fetched to think that I might feel the same if I get children, but I don't wanna them to feel this way about my desire for them to """give me""" grandkids.
However I can't figure out the main points that led to the discrepancy I felt between my mother and father's side and want to make sure I'm able to react properly if I'm in this situation one day.
My question is then: how do you express the fact that you'd love to be a grandparent without putting pressure on your kids to have children?
For simplicity's sake I used the parent/child relationship, but grandparent/grandchild and so on are of course welcomed.