Most people go to a professional stylist or barber when they want a haircut. You describe this service as:

I got my hair cut.

or

I got a haircut

Sometimes people will also say:

I cut my hair.

But that's a little confusing because it sounds like you did it yourself.

Aside from getting your hair cut, other services that you can "get" include:

• get your hair colored
• get an oil change (for your car)
• get a manicure (for your fingernails)
• get a massage