We use DO in collocations associated with tasks, duties, obligations, and routine or repetitive activities.

DO

​We often use MAKE when we talk about the creation or production of something.

MAKE

DO is usually used in collocations referring to the following topics:
Study and work, housework and repetitive tasks, good or bad actions, sports, hobbies and self-care.

• I do the dishes every evening.

• Anna does yoga twice a week.

• He did his best to pass the exam.

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​Do usually refers to the action, to the process of doing something

​YOU KNOW, Do SOME SHOPPING.

We use MAKE for this specific housework:
I make my bed every morning.

Make is usually used in collocations referring to the following topics:
Food and drink preparation, arrangements and decisions, speaking, sounds, relationships, and money.

• She made friends quickly at her new school.

• He made a cake to take to the party.

• We are making plans for the weekend.

MAKE refers to the result of those actions.

go make friends, sheldon.

​So, basically...

MAKE generally refers to the result.

DO usually refers to the action.

I AM GOING TO DO THE COOKING TONIGHT.

FOR TONIGHT'S DINNER I'M GOING TO MAKE PIZZA.