That would be a New Pew.
Grim hymn
grim hymn
grim hymn
blue pew
tomb room
clay tray
spoon tune
A hink pink for a sack for Old Glory would be "flag bag." It's as simple as that. Just combine the words for the items and you've got yourself a hink pink. Next!
wake shake church lurch
Thin inn is the hink pink for skinny hotel.
A newly purchased church seat could be referred to as a "fresh pew" in a hink pink riddle. In hink pink puzzles, the goal is to find a pair of rhyming words or phrases that fit a given clue. In this case, "fresh pew" rhymes with "just purchased church seat."
shrunk skunk