(For more collocations, consult a good dictionary.)
Have a bath
The telephone always rings when you are having a bath.
Have a drink
I would like to have a drink.
Have a good time
‘We are going to the beach. Would you like to come with us?’ ‘I would like to, but I can’t. Anyway, have a good time.’
Have a problem
I have a problem and I need to discuss it with you.
Have a relationship
I have a good relationship with them.
Have a rest
Go home and have a rest. You will feel better.
Do business
He isn’t the right person to do business with.
Do nothing
I did nothing all day.
Do someone a favor
Will you do me a favor?
Do the cooking
I don’t mind doing the cooking.
Do the housework
She doesn’t like to do the housework.
Do the shopping
It is your turn to do the shopping.
Do your hair
Susie, who does my hair, has moved to another beauty parlor.
Do your homework
I do my homework in the morning.
Make a difference
With a little effort all of us can make a difference to the world.
Make a mess
She has made a mess of the kitchen.
Make a mistake
I think we are making a mistake.
Make a noise
Don’t make a noise.
Make an effort
The boy made no effort to escape.
Make progress
They have made little progress so far.
Make room
Can you make room for this table?
Make trouble
I don’t want to make trouble, but I have a few suggestions.