Definitely would recommend this place. It's cute and cozy inside, it's really well located, and the parking space is such a huge bonus. And Estaban the resident cat is so friendly and cute.
Worth mentioning that the place is a on a steep street, so if you have mobility issues it may not be the best place to stay. Then again, most of Quebec city is very, very hilly. The upside (besides being close to the major destinations) is that just two blocks down from Claude's is a little lookout area with nice views over the city.