New researcher in Mexico

Hi

I am new to the group although I have been doing research for many years. I have been successful with my mothers European ancestry search, but I had no idea how to begin research for my family in Mexico. ( I do not speak Spanish as my father believed we should only speak English)

My grandfather was Salvador Bernal born in Zaceteca Mexico in 1905. His mother (Antonia Cano b1881 in Mexico) brought him and his brother and sister to California, shortly after his birth. His father was Cresencio Bernal and there are many stories about him being a train robber. Antonia Cano's parents were Felipe Cano and Tirburcia Martinez. There is also references to the family having some French heritage through this line.
I do not have any other information on the family. I would appreciate any help as I have no idea where to start looking.

Chris