Climbing info for Paris needed

Hi people! I will be spending 6 months in Paris, from mid-November to mid-May. I am climbing regularly, so can anyone please help me with some information about training facilities in Paris, and also about bouldering in Fontainebleau. I will be living close to the Cimetière du Père Lachaise (rue Charonne), and my work place is in Levallois-Perret. If anyone can, please recommend me a good place to train (I am now around 7b to 7c sport climbing level) that is somewhere close or easily reachable from both of this places. Walls with only bouldering Address: are also good for me. Also, when is the season for bouldering in Font? Is it climbable in winter, and is it easy to find climbing partners - because I don't have a crashpad, but I have a lot of positive energy for climbing ;-) Thanks everyone for all the information! Salut! Perica from Croatia