POI data from OSM as markers on leaflet

Hi guys, I've got a simple question and would be great to have some starting information on how to get this going. I'm a newbie here with OSM and searched the forums across different platforms, but just can'T find a simple starting point. So here's what I need:

• user goes to map on my website and selects a button f.e. 'clothing shops'
• map shows a marker on all clothing shops.

And that's it.

I'm using leaflet to get the map on my website and that works, though what I need to figure out is how to get OSM data of the amenities. (preferably through php, java or http request) Then the part of adding markers on the map is easy, and if needed with clustering.

ps: in case anybody knows a better platform for this purpose then leaflet it would be great to know about.

Thanks a bunch!