I’m basically running in cycles of:

        apt-get update (get the latest available in repositories)

        apt-get upgrade -f (try to install it, attempt to install any dependencies, stuff blows up)

        dpkg –configure -a (try to finish installation of as much stuff that blew up as possible)

        apt-get autoremove (remove as much of the old stuff that is in the way as possible)

     … rinse and repeat.

     Each cycle more stuff gets installed and the number of broken dependencies decreases, but it is a slow painful process.