In the book Sesame Street Unpaved, there is a bio about each character and it lists their birthdays. Hope that helps Kimp.
My favorite Grover memories are pretty much every scene with Grover the Waiter. I love how frustrated Fat Blue gets and I love how Grover is just trying so hard to please him. My favorite one would have to be the Mexican one when Grover keeps dancing and dropping the plate of food. Ole! I also love Grover in Christmas Eve on Sesame Street when he pretends to be Santa Claus with a kid named Billy and can't get out of Billy's "house" and keeps waking him up asking what he should do.
Grover has always been one of my favorites. I have an old stuffed Grover from when I was little, he's actually a baby Grover, but he was my Grover and you can tell he was very loved.