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I went through this with my ex.
If you can, try to get her belongings back to her. Send post and email letters with return receipts / proof of delivery and being read, and ask her to get her things. I would also check "abandoned property" laws in your area to see if you have any obligations about how her things must be discarded. If it's not too much effort, then box it up and drop it off on her front doorstep or with one of her close friends or family members. Otherwise look at how it can be discarded.
As for the dogs: tell her to get them, or else they can go up for adoption (i. e. petfinder. com, the local shelter, etc.).