Need to sort out custody for your pet after a breakup, divorce, or roommate split? A petnup will outline the ownership and basic care for the animals, financial responsibility, visitation rights and even shared custody agreements.Custody of dogs and cats in Texas divorce can be awarded to you or your spouse as property unless you can establish the pet is your separate property. This sounds like a breach of contract. If the dog you have chosen to adopt is heartworm positive, we will have you speak to a medical team member prior to completing the adoption. Fill out a Breed Notification Request. Animals: 1 - 30 of 135. Image_A1986743. Should you get a divorce if your spouse refuses to re-home a pet you despise? A lease agreement longer than one year must be in writing. A lease is a contract between a landlord and a tenant.