We have one pet buried in a really lovely pet cemetary, complete with roaming peacocks.
We have one (our favorite) buried deep in my rental property backyard. Illegal, but that gave my son comfort.
My darling Ginger was cremated, I have her ashes in a pretty wooden casket with her name & dates. I keep it in my closet. I just like having her close & warm.
You just have to decide what will comfort you the most. There are no wrong choices. Hugs.