Right. That's really to be expected. These are huge, huge losses for us, and there's no reason it should be easy.
If it helps at all, I found when I lost my first cat ever 4 years ago, I was absolutely crushed. Then as the weeks and months go by, I was gradually able to think of her without crying, and at about the 1-year point I was able to think about her without being upset. It's a process, it does take time, and you'll get there.
We humans keep taking it on the chin for having beloved pets who happen to have a shorter lifespan than we do. I think we're all to be commended for continually putting our deepest emotions on the line in order to care for a pet.
Holly and Murphy