Cat, do you have a L? It is very important that you are crystal clear on what it will take to make your interests financially independent from STBX.
Also, you should take seriously Ellie's comments. As you move forward in your life, having your ex-spouses belongings stored at your house, being legally bound to do so, and being legally bound to allow him access to those belongings is not going to be a welcome thing.
I know you are just looking to get through this right now. But try to look at the big picture too. This shed-kind-of-thing is toxic. I hope you find some way to avoid it.
