Sometimes local DV shelters will also help you think about what to do next even if it isn't a physical abusive relationship. They may not have shelter space for you, but they may have counseling or resourcing for you to help you make your next move. When leaving an abusive relationship be smart. Think of your safety and think about what, if any, connections you have that can help you (family, friends, churches, social groups, neighbors etc). A first step may be just having a few things in a bag in case you have to up and go. This may be dog food, leashes, medicine, some cash, change of underwear, drivers license, etc. Sometimes it is even helpful to know nearby safe and cheaper hotels/motels so you know there is some place else to go, even for a night.
Look up safety planning for leaving an abusive relationship if you're able.