I currently use the cyclosm[1] as a tile map for my small web app. I'd love to use OpenFreeMap instead, as cyclosm is quite slow. Is there any way I can do this for bicycle maps? Awesome project.
As far as I know, no vector equivalent of cyclosm has been made. OpenMapTiles's data are too poor ("compressed" : different cycle way types are summarized in a unique tag) to make a great cycle map.
What you need is a bike specific style for OpenMapTiles schema. Maybe you can find it on GitHub. Once you have the style, you can use Maputnik to tune it to your liking like on this link:
https://maputnik.github.io/editor/#0.84/0/0
I found this[2] but I wouldn't know the first thing about how to integrate it, stand it up, serve it, and consume it with leaflet. I'll admit, the world of OSM is quite a labyrinth.