If you are looking to go to monterrey bay aquarium they allow ebt holders to take 4 people in for free. No wic there
Just to add to this! If you get a library card you can use that to create an acct on the discover & go and get free entrance to places like exploratorium, bay area discovery museum, odyssey, filoli gardens, ruth garden, Berkeley garden, California academy of sciences etc.
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Also it's not just limited to the Bay area or even California it is Nationwide so if you go on a trip out of state you can also find some cool free and discounted activities