Iveta's apartment was really cute and good value for money. It's about 25 minutes walking from the old town, but the walk is worth it even in December/January; we hardly used our transport tickets while we were there.
Pros: The bed is huge and very comfortable, it's nicely decorated, the big bathtub is fantastic to relax.
Cons: There's a water-detecting device on the bathroom floor in case water comes out while you're having a shower, but the shower curtain is not waterproof, so you usually end up crawling on the floor naked trying to dry it with a towel.