I hope my children will remember me with kindness, and forgive me for my regular outbursts, especially where homework and studies were concerned (didn't do them any harm though).
I hope my older grandchildren, who I was very involved with, will remember the stories I told them of my childhood, in a country far away. Sadly, they will have very little memories of their great grandparents.
The little toddlers may not remember me at all. although I see them often enough, they are close to their Mums' parents, who spend more time them and do school runs etc.