I have researched, but not found yet a way to create custom stylesheets like ex.:
OSMBright, or carto-openstreetmap stylesheets, and integrate it on my own Ubuntu Tileserver from Openstreetmap data.
At the moment I am using Carto-Openstreetmap stylesheet. Any information on how can I achieve creating a new custom designed differently?
Im assuming you want a map style written in CartoCSS which is what openstreetmap-carto is written in.
There are several ways to do this. I have used Mapbox Studio Classic in the past. Mapbox does like you to serve tiles from their own platform - there are ways to export to your own server. Tilelive and Tessera are possibilities.
Kosmtik is another option - i have no experience with this though and I would really recommend using mapbox.
