If you are tracing the family from Russia - you will find the Archives very helpful.
You need a bit of information first. I notice you have several names. This may be time consuming to trace. However, start with what you know of the family name used at the time they were in Russia. If you have any idea at all it will help; addresses and religion play a big part.
The Russian Orthodox church does have some records and again if you have some details they are a great source of information.
So start with what you believe - Jewish, Orthodox, Catholic, etc. and do use google. Put in the names you believe even if they have been Anglicised as there may be other sites with members searching for your side of the family.
If you think they came from Odessa go into the site on Ancestry for Odessa, or Belarus, etc. put a thread on each and see what happens; suggest one name for each thread or you could be getting several replies and the scope could be large.
Good luck. I am delighted that after some years I have found help on this site to find both sides of my father's family.