A lien against you personally should not affect the property where you rent. It is generally not something they could evict you for. You should, however, consult with a bankruptcy attorney right away. It sounds like you have debts that have gone to judgment and now creditors are just waiting for you to have some assets to levy. That means your bank accounts and anything else you own is fair game. Bankruptcy generally solves these problems and gives you a fresh start without creditors chasing you. Good luck.
Please see my answer to your other question. You shouldn't necessarily file for bankruptcy protect just over this one lien, but if there are other debts, then seeing a BK lawyer, at least for an initial consultation, sounds like a very good idea.
Disclaimer: Please note that this answer does not constitute legal advice, and should not be relied on, since each state has different laws, each situation is fact specific, and it is impossible to evaluate a legal problem without a comprehensive consultation and review of all the facts and documents at issue. This answer does not create an attorney-client relationship.