My ex-spouse has filed bankruptcy - Now what?

Since both of you are already legally separated, so it shouldn't affect you anymore. Your ex-spouse won't be affected anyway. But I would like to ask you one question. Do you have any joint debts with your ex-spouse? If so, then you'll still be responsible for the debt and that would appear on your credit report.

Well, if your ex-spouse has filed bankruptcy, you will be responsible for the debt if you are a joint owner or cosigner. But it won't affect your present spouse anyways. Now coming to your next question.
Under the Bankruptcy Abuse Prevention and Consumer Protection Act (2005), your ex-spouse is liable to make payments for child support before all other creditors, including taxes.

I don't think I have any joint debt. How can I verify it?

Check your credit report to know if you guys have any joint debt. You can even ask your ex-spouse for verification.

You are now legally separated, so no harm would be done to you. have you checked your credit report?

Seek help from a bankruptcy lawyer.