Looking for a listing theme with map

Hey everybody !

I am trying to create a site that would list lots of stores. I would like them to appear on a map and also in the form of a list (with name, address, description, etc …). I would like to include lots of possibilities to filter the search such as: type of store, department, … And when we look for an establishment with a search bar, the results would correspond on the list as well as on the map.

Do you know if this is possible with WordPress? Do you know a good listing theme maybe ?

Thank you in advance for your tips ??