Good detail! I think you could save at least a couple hundred dollars at least.
We are a family of 2 adults and 1 baby and live in Washington, so similar I suppose. Our budget is about 250-300 + 30ish for household goods.
First - it seems like you're spending a lot on household items. Use less and go generic, but mostly use less:)
On food: we buy organic for certain things (leafy greens, peppers, apples, milk etc...) but not everything. We also do a lot of shopping at a local Winco. I'm not sure if you have those in Oregon, but there is a lot of stuff you can buy in the bulk bins. If there isn't a Winco, find a store that has bulk bins - they have saved us lots.
We also don't buy much pre-packaged goods. For example, I get oatmeal, raisins, nuts, and the like from bulk bins and make oatmeal in the morning. We do a similar thing to make granola like snacks. More nutrition and less money.
Learn to make more things from scratch that you don't usually make (for example hummus and salad dressing) you'll save a lot of money and will be more satisfied too. Plus they tend to be surprisingly easy!
Try not to waste anything - if you see some stuff going bad, find a fun way to mix it all up (chilli, stir fry, stew, put it in eggs)
Beans like lentils, split peas, and garbonzos can go a long way for cheap too. Lots of nutrition and the fiber keeps you full longer.
Three final things:
Find some staple meals you enjoy that don't cost much and eat them frequently- you'll become more efficient and reduce waste. For me, I make a salad for lunch probably 4x/week that consists of spinach, kale, lentils, random colorful veggies and homemade dressing. This costs me about $1.
Grow veggies if you can. Satisfaction + savings
Eat less meat and dairy. Look at a typical receipt and see how much you'd save if you didn't buy those things.