SRS, that's only relevant for "Fellowship". The extended version actually shows Aragorn coming back with a deer one night (can't remember if it got included in the cinema version). And after "Fellowship" they're either with armies (which have baggage trains), on long rides/runs somewhere (so carrying little/no food), or it's Frodo and Sam living off lembas bread in Mordor where there's nothing else to eat anyway.
There's no mention of them digging camp toilets either, but I don't consider that spoils the books or the films. ;-)