All good as long as you get reusable bags that are washable. Someone in our state tested some bags and found them to have high bacterial count.

We use the ones that don't have fabric covered cardboard bottoms and fabric instead of the bags made of recycled plastics woven. Our cooler bags are from Trader Joe made of canvas outside. We also have cooler bags from World Wildlife Federation but those are the woven kind. Just got them and haven't tried to wash yet so don't now if they'll hold up/