Translation of stuffing cheeks was good enough. If you are really keen on changing it, maybe "stuff your belly"? One step further in the digestion chain, and no matter how it enters -beak or mouth- it ends up there
Good shit, and really nicely finished, too. Not too cheesy, not pathetic, peaceful ending for peaceful manga. Thanks for the translation! If you'll find the time and will, i'd love to read author afterword on page 9 :)