I am not going to make cut my hair by my mum.
I am not going to have my hair cut by my mum.
She is having her house to paint next week.
She is having her house painted next week.
Do you make clean your house by an outside service?
Do you have your house cleaned by an outside service?
I am having done my nails tomorrow.
I am having my nails done tomorrow.
I am getting a lifting to my face.
I am going to get a facelift.
They are having their house renovated.
I had / I got my hair cut yesterday.
We are having someone paint the living room for us.
She is having her tonsils removed.
I finally got her to tell the truth.
to have / get something done (have / get + service + past participle) means to have a service carried out for you by someone else
to have someone do something (have + person + infinitive + service) is another way of saying to have something done
to get someone to do something means the same as to have someone do something, but note that to get requires the infinitive with to
don’t confuse to have someone do something with to make someone do something. to make means to force / oblige. Thus, I made him clean the house means that I forced him to clean the house probably against his will