I feel you bro. Getting older especially as a male one would naturally be thinking of having his space and his life in construction. Even females want some independence.
It is beautiful that you want to go home to your parents' house especially for your mum's birthday. And it's beautiful you've gotten a gift for her as well.
I would say since you were not able to come home for your dad's birthday and give him a gift. You could take something along for him too.
If you say next year you will get something for him that would be too far and we don't know what will come up then.
So, I think it would be great to get him something as well.