I'm honestly not against using Facebook to actually do some good if you already have an account - there's something to be said for using the places people where people are already hanging out. But if you don't have one, it's definitely not worth making one.

Freecycle has local sites for different locations, there might be one for your community. And Buy Nothing has been trying to move off Facebook (to an app, unfortunately - I don't like apps) so that might also be an option. Both host the right kind of community for this kind of project.

One other thing I've had some luck with is just putting up paper flyers. I try to look for the places where people already congregate or where lots of staples and thumbtacks indicate that other folks felt it was a good spot for flyers.