In an interview with Craig Ferguson (CF) at The (now late) Late Late Show, Billy Connolly (BC) says https://youtu.be/wkqkpvA7Oq0?t=8m24s
BC: So now they're all gathering on Princess Street in Edinburgh, outside.
...
BC: Freezing a bejesus off you.
CF: You can't say that...
...
BC: I said "Bejesus!"
...
BC: It's like "Bed, bath and bejesus"
As I understand "bejesus" is usually used make an emphasis, so that Freezing a bejesus off you would mean something like "It's damm cold." But I can't understand the meaning of the last It's like "Bed, bath and bejesus."
What does it mean?