Glug, Glug

Yesterday evening after I got home from work, I went into the kitchen to find the sink all backed up with dirty grey water. The bathroom drains were unaffected. Unfortunately, this has happened often enough that I know what's going on. I'm on the bottom of a three-high stack of apartments that share common drains. Every 1-3 years, the pipes below me (which collect everything from above me as well as my own sink) clog up.

( Messy Details )

Since I expect to move in April or May (earlier is better, but depends on me getting an opening in the apartment building I've spotted into which I want to move), this should be the last time I have to deal with this periodic plumbing problem.