The 2 and 3 year olds also sleep between 12.15 and 13.45 as a rough guide, so they don't get tired, plus they spend copious amounts of time outside, no matter what the weather, as every local school has a canopy in case it rains.
For EU quarter, anywhere along metro lines 1 and 5 and tram lines 39 and 44. Some even like living in the EU quarter but you have to be careful with which schools and streets there, as it goes from affluent to poor in one street.
You phone (not email) every single local school. It's a good idea to limit your search area though, otherwise you'll end up with 30 odd schools on your list.
You can do any pattern of attendance in maternelle, if you must go with part time, mornings only EVERY morning would be best. Some maternelle teachers will say outright they don't like your child being part time, some might be more discrete. It means your child misses out on every afternoon activity. Some days, if they are doing something special, you might be persuaded by the teacher to allow your child to stay all day. Your child might be the only child in the class part time, it is more likely than not. You might be asked to collect away from the classroom at lunch time, meaning your child might go to the secretary for collection, it can be immensely upsetting for 3 year olds seeing a mum arrive and they don't see theirs.