Dictionaries acknowledge that to put (something) in order means: "to clean or tidy something". Also, tidy (up) something means: "to make a place or a collection of things tidy."
Now, I need to know how the following sentences differ in meaning:
1-1- Help me put the house in order before mom and dad get back.
1-2- Help me tidy up the house before mom and dad get back.
And
2-1- Put all these books in order.
2-2- Tidy up all these books.
And finally:
3-1-I'm tired of asking you to tidy your room up.
3-2- I'm tired of asking you to put your room in order.
To me both sentences in each group are interchangeable.