Yes, you can take classes at more than one school, as long as the classes at both schools counts toward your degree and this be a requirement of the first school in order to get your degree.
This benefits only works for me? It can't go for anyone on my family too?
I also need to know more information about including my family, which interests me a lot. What other options do I have regarding GI Bill benefits?
You can use the GI Bill Comparison Tool or apply for education benefits.