Excellent choice!
The hostal is in the city center... and the family who is in charge of the place is very nice and pleasant. ( + helpful for everything)
The rooms were really well furnished ( beds very confy) , and very quiet . The AC was very good, and the windows too.

There is also a small parking , but which was really convenient , as it is not public but private. The son of the lady took charge of our car, it was very nice.

We only spend one night, but I would strongly recommend you to stay more.

Despite the initial concern of finding the single room was not air conditioned, we found the 3 rooms we had here to all be of very good quality. They were all clean and quiet (the bar across the road was closed for refurbishment - that may have helped!), the air conditioning was efficient (and the single was fine with its fan), and the beds were comfortable. The location is decent, although a little bit further out than most hotels. Just don't believe the owner when he tells you about the "antiques"!

We stayed in Hostal Lima 2 in April during the Semana Santa. We arrived very late, but the house keeper had stayed up for us being very friendly and showing us our room. it was on the top floor, no lift available, but we travelled with light luggage. The room was tiny, but beautifully decorated, very, very clean with a nice bathroom (shower and toilet), also very clean. Aircondition/ heating worked fine. There is a nice bar round the corner for breakfast. The location is great, walking distance to the city center. We even walked up to the Alhambra, took us about 30mins. I can strongly recommend the Hostal Lima: good value for the price!