How long does it take for interview to be scheduled after finger printing?

It depends on what applications you had submitted, when and on what basis.

An accurate answer to your questions can only be answered by CIS. And assuming you have completed your biometrics, you should be interviewed within no longer than 3-4 months of completion of biometrics. With respect to work permit timeline, if you have filed a Form I-485 green card with your petition, CIS will likely issue your work permit within 90 days of filing. After your work permit, you may then contact your local social security office to apply for your social security card. Employment authorization documents EAD are usually mailed after completion of biometrics and before your scheduled adjustment of status interview date.

In Houston, usually 1-2 months, and the green card about 2-6 weeks after the interview if all goes well. A social security number and work permit are not automatic. You must file forms at appropriate places to get those items.