I don't think I like having pets.
That's strange. What is it about pets that you don't like?
I have to waste money on vet bills whenever my pets get sick.
You should appreciate your animals more. You took the responsibility to take care of them and they bring you joy. It's not about fun and games all the time.
That's why I should dump my pets because I don't want to care for them.
Dumping them is not nice. It is not their fault if they get sick and need medical care, it is not their fault that they have needs. You should have done your research before you got a pet and not blamed them or stopped liking them.