That is good news, Michael. No septic or drain field eliminates a huge portion of your potential problems.
A city hookup should have a cleanout port inside the basement or under the house.
You could have a tree
root plugging your outside line.
As suggested earlier a venting issue can cause slowdowns, although having had vent issues they usually have burping or gurgling noises accompanying them.
I suspect that something was flushed down a toilet (Barbi doll) went as far down the pipe as it could and lodged. This could have happened years ago and has taken this long to back up.
You may need to call in a plumber with a long power snake.