We have taken to eating Rye bread on a regular basis.

My son mainly eats pitta bread. ( the unlevened flat bread that you slit
open and put things inside, like they use in the middle eastern kebab
shops). However when i decided to put that pitta bread in an air tight
plastic bag (it normally comes in sellophane bag) my sons complains that it
seems to go hard very quickly.

Since the air tight bag does not seem to suit the pitta bread,
we wonder what is the best way to keep the rye bread? Put it in the fridge?
Put it in an air-tight plastic bag, or not?

thanks for advice.