Jiří Eischmann 
If you're exploring #OpenStreetMap like me and openstreetmap.org is too heavy for you, try #OSMapp (https://osmapp.org/). It uses #MapTiler. It's fast, looks nice and works great on the phone, too. 👌
Jan SobotkaIt looks and works really nice. 👌
Just last week, I replaced the embed #mapycz map on a website that I manage for a friend (after all the things that happend with paied #Seznamcz without targeted ads) with embed OSM map.
This app looks even better and has a nice outdoor layer. Does anyone know if there is a way to embed it? I didn't find it.
The website for reference: https://zahradni-slavnost.cz/#info
Jachym CepickyIf you want to stick to Leaflet: https://documentation.maptiler.com/hc/en-us/articles/360020949538-How-to-create-a-map-with-the-Leaflet-JavaScript-library
If you are not afraid of MapTiler SDK/MapLibre JavaScript library: https://documentation.maptiler.com/hc/en-us/articles/4410638577297-How-to-use-MapLibre
There is no such think as "simple website" ;-)
You are now using OpenStreetMap tiles hosted from OpenStreetMap server infrastructure. You should follow the Tile Usage Policy https://operations.osmfoundation.org/policies/tiles/
MapTiler is providing service of tile and maps hosting. There is a free plan and much more map styles, you can pick, including satellite.
Check out a sample of maps available in our hosting platform