I have a nice apartment in Freiberg and plenty of space for guests. I'm offering you my bedroom as a guest room. Here you have a real bed for 2 (1.40m width) in a separate room. Kitchen, bathroom and living room can be used as well. I also have a guest toilet.
I am proud cat mummy, so you should have no problems with cats or fur.
The apartment is centrally located about 10 min. from the center as well as 10 min. from the railway station.