Surely you mean income tax. Oregon is the state that lacks sales tax and makes up for it with an income tax.
Also, I'm not sure why your grocery bill would go down compared to California. Moving from LA to Bellevue, I noticed groceries cost more up here. Both states don't apply sales tax to groceries, at least.
It also costs a bit more to eat out here vs. LA, at least at the low end. Probably prices are cheaper in LA than the Bay Area, however.