Project managment software?

We have way too many things that need to be done around the house.

I'm trying to set up a prioritized todo list in open office that has a column for priority, and one for due date, but can't really figure out how to say this job is dependent on that job being done first.

Is there decent project management software that runs on linux that can handle all of that?

My PHB at work has some windows software for that sort of stuff.