Accommodations for a family of 4 in June

Hello - we are a family of 4 (two adults and 12 and 14 year old girls). We are traveling to Paris for the last week of June. We want to stay in an apartment so that we don't have to eat at a restaurant for every meal. We'd like to stay in an area that is not too touristy and feels more like living like a local.

Any recommendations of areas of the city and the best way to find an apartment that feels a parisian apartment?

Thanks!