Bills are never included. But they are not very high here, not for water or electric. What we did was buy a prepaid electric card which we inserted into the meter enabling us to have electricity for a whole year. Water I believe is paid to the owner of the house in whose name it was installed.
When it comes to internet, I would shy away from getting it installed in a rental place as the cost can be quite high and you are basically giving it to the owner and will lose it all when you move out. Unless of course internet is already there and all you have to do is pay to continue using it which starts at around 500 Birr a month. Rather get a portable device. Not only is it yours and you can move it to a new place, but whenever government decides to shut down residential internet, the portable devices usually continue to work.