Lawn Mowers?

I have Santa Anna Couch.
The regular lawn mowers does not give me nice & short cut i want.
I’m think of purchasing a Cylinder Lawn Mower.
It was suggested i concider a Rotary Lawn Mower.
What is a Rotary Lawn Mower?
What would be best for the lawn i have, Rotary or Cylinder Lawn Mower?