I hate birthdays with a passion
What's the reason for your hatred of birthdays?
Because I hate the obligation of spending time with my friends and family on their birthday.
It's alright to not like birthdays, but you should try to be with your loved ones on their birthdays. People like to spend their birthdays with loved ones, so being there for them will make them happy.
It's not my fault that it makes other people sad. They just have to deal with it.
That seems a little harsh when others are trying to do something for you.   Be honest about not enjoying birthdays and tell them that you would enjoy doing something with them not birthday related.