Martinez, in my opinion, is a much better place to live for all reasons possible. It is incredibly safer than Bay Point and Pittsburg, no question. There is a nice downtown district in Martinez with a beautiful waterfront park. There are many newer neighborhoods that are very affordable. It is a much easier commute to ANYWHERE in the Bay Area, especially if you are heading towards San Francisco. Easy access to Highway 4, 680, and 24. Schools are also much better. Martinez has it's own school district which is a huge plus. In certain areas, you are also able to attend some of the better Mount Diablo District schools such as College Park High School.
Although home prices of Martinez may be higher than those in Pittsburg, the price difference is well worth it. Martinez is still incredibly affordable even comparing to neighboring Pleasant Hill, and not even a comparison with Walnut Creek.
I have been a Martinez resident since 1988, let me know if there is anything I can do to help you call Martinez home!