Best Facebook autopost software
Not sure what you're wanting it to do, but I've used MassPlanner in the past for posting to Facebook that worked quite well. It's worth noting that with a lot of software it's more about how you use it than anything when it comes to avoiding bans.
Facebook is very, very, very strict when it comes to auto-posting. You have to be extremely tactful with it to avoid getting slapped with both temporary and permanent bans. They take everything from how often you're posting to other "natural" actions such as liking/commenting on pages into consideration with their algorithm.