Can I get a step-up basis on a mutual fund sale (we owned together in CA) when my husband is deceased?

hi - Am I allowed to get a step-up in basis on a mutual fund sale (we owned together in CA) since my husband is now deceased? 

If so, do I just document my cost-basis research and then use those numbers when filing? 

Is there something I should do about funds that we owned but that I haven't sold yet?

I have the same question for U.S. Savings Bonds.

Thank you