We do call them Eid, usually context will clarify which one we’re talking about but otherwise it’s Eid al Fitr (and Eid al Adha is usually called Bakra Eid in Pakistan, bakra meaning goat). At home, of course it’d be a holiday and everyone would get up early and shower and put on new fancy clothes, then Eid prayers, then party food and everyone’d be visiting each other’s house.
I live alone in the US now, so just the first part for me and then to work, nothing too special.