Uber and lyft do have web versions you can use to use the service, however app notification services and more detail stuff on the driver are not available like it is on the app versions.

For lyft: https://ride.lyft.com/

For uber: https://www.uber.com/us/en/ride/

As far as maps, i used this when i had ubuntu phone, it was pure maps running offline with osm scout server. I had to go on a browser to get the coordinates of where i wanted to go and input that on the puremaps. Its an extra step but once i saved the default locations it made it easier use.