get/have/make

Hi there teachers,

We use the verbs 'get, have, and make' when we, ourselves, don't do something, but we persuade or make somebody else do something for us. right, teachers?

For example;

-I need to get my hair cut.
-I will get my house white washed.
-you must have your car repaired by next Sunday.

Teachers, my question is: Can we use the verb 'make' this way as well?

For example, can we say 'I need to make my hair cut.'  Or  'I will make my house white washed.' Or 'You must make your car repaired by next Sunday.' ?

Could you please tell me the difference between these verbs (get, have, and make)? I'd really appreciate if you could provide a link explaining all the possible structures we can use with these verbs.

Thank you, teachers.