Store these buns in an airtight container and eat on the day they are baked to enjoy them at their very best. They should definitely be consumed within 24 hours as they turn stale quickly. These buns can be frozen. It's best to do this as soon as they are cold. Simply pop them into a freezer-proof bag and store them in the freezer for up to 3 months. Do not add the icing glaze if intending to freeze your currant buns.