I bought a new house and get possession on June 30th. I had to be out of the house I sold on May 1st. For a month in a half I had to find a place to live with a GSD and 3 cats!!!! It never once crossed my mind to dump them. I'd have lived out of my car with them if I had to!
In the end I found a pet friendly place and it is working out well. Of course, I didn't tell the landlord I was only staying for a short time.
And althought I could have given notice yesterday and been out at the end of June, I am going to give notice at the end of June and pay rent for July as I feel badly for moving in and out so quickly.