Do you have to go through your home to access the suite? @John6999 if so you might be better referring to this as a room in your home. This means its a room in your home which has shared facilities such as a kitchen space (which you state you have).
If it is a completely self contained suite with it's own entrance then yes it should be listed as a suite.
A place to stay is for those who offer a bedroom and access to a bathroom for their guests but no other shared facilities.
Under their new summer release Airbnb Airbnb have put my listing into Place to Stay rather than a 'room' and so far over a week later haven't corrected this.
https://www.airbnb.co.uk/release