I've never celebrated Father's Day (I had a shitty dad and it wasn't part of family tradition anyway). My kid's too young to know what's going on, but I did get a card from the daycare. It was more a day to treat myself a little, even if it was one of my weeks. So we went to the hardware store.
I'd like to make it more of a thing down the road but it'll probably have to be other family doing something nice for me. That's years away though.