Having moved to Edinburgh in 1986 from very rural Suffolk, we could not understand why people were complaining about the buses here, when in Suffolk we had had a paltry 2 buses per WEEK to our village!
Services here have changed over the years, and there will always be someone complaining, as there was then.
But standard single fare on Lothian Buses is £1.70. - no fare staging, so you could, if you wanted, travel 20 miles from the most westerly terminus near us to the most easterly. A day ticket is only £4 for which you can take as many rides as you like. There are also special deals for evening and night buses. There are a good many "park and ride" facilities around the periphery of the city, where parking is free: they can save you a fortune on trying to park in town, which is expensive.
We have the bus pass anyway, which also permits us to ride on the tram for free, tho the tram does not go anywhere near where we live! (And can't think of trams without remembering the 5 or more years of pain and chaos it caused us residents of Embra while they were being put in!)
The bus pass does not cover night buses, however (after midnight we are supposed to be tucked up with our cocoa or sound asleep!)
So what's not to like? Well, most routes run radially in and out of town: very few circular routes, and most of those don't run at weekends. Therefore you may have to go all the way into town, and back out again to move between different points on the circumference of the city. And our nearest bus stop is half a mile away: a long slog back uphill coming home! But buses every 10 minutes until the eveing when they drop back to every 30 minutes - but still run until midnight.