Christine apartment was everything that we needed, cozy, warm (which was important since we went in December), clean, comfortable bed (and big enough for 2 people to sleep comfortably), and the studio has shutters in the windows which is great to those - as me - have problems sleeping with light. The apartment is just 5 minutes walking from Place de la Victoire, which is also very useful when coming from the airport (just need to catch the Bus number 1 and get out in Place de la Victoire).
We didn't need to use any public transportation inside the city as you can go to all main points walking. Bordeux has a great bicycle rent system, you can rent a bike for 1,5 EUR for 24 hour, you just need a deposit (taken directly from the credit/debit card) that is later returned to the card if the bicycle is delivered. During that time you can pick up or drop the bikes in the several bike stations along the city as many times as you want (always inside the 24h period).
Regarding the host - Christine - She was very helpful and available, answered all our questions very quickly before our arrival, and provided several tips on what to visit in the city, very sweet person always willing to help.
Thank you for everything.