I would not want to get rid of the pets. I would apologize and make an effort to do a lot around the home in hopes that that would be enough.If it wasn't then we would have a lot to work on and decide in our relationship.In the end though I too would pick my spouse over pets.
Some people really dislike living with animals,and if it is not something a couple can work through then both should move on.You don't want to be unhappy and should not expect him to be. Just sit down and talk about it. He wants more attention,more cleaning,more *work* done around the home. If those things are done will he really be happy,or will he still resent your pets? Is it really about the dog,or is it your relationship? So many things to talk about.Life is so short.Neither of you should tolerate situations you dislike.Best wishes whatever you both decide.
I see on tv how some really do put pets first.Even kicking a spouse out of bed for the pet,or tolerating a peed up or chewed up home.