I've been anxious because I think my new landlords don't approve of dogs in the house I'm renting and I have a dog!
Oh no that is awful! It is against the law where I live to ban animals from the house. So legally I am allowed to have a pet even if the contract says no pets allowed. 
Really? I did not know such laws exist but it's awesome. Where do you live?
Canada! You should check the laws in your area to see whether or not you are legally allowed to have a pet even if the land lords do not approve.