Hostel Iva is directly at the Lavov Most metro station. It's within easy walking distance of both the train station and the central bus station. Also close to two grocery stores, a KFC and several pizza places.
My room had a single bed with private bathroom. I'm not sure what the other rooms have. All rooms are on the second floor; no elevator. I think I might have liked my stay except the bed was so hard. A rug on the floor would have been softer. If you might stay here, check the quality of the bed first!