Your AAA Membership covers you in any car whether it is yours, borrowed, or a rental... even if you're the passenger. This would include scooters as long as it's tagged and registered and you have the added benefit of either Motorcycle coverage or RV Plus or RV Premier to your membership.  The scooter would qualify for towing, air in tires (but not tire changes), fuel delivery, making an ignition key (via reimbursement).
It is not necessary to inform AAA when you purchase a new vehicle; sell your vehicle or give it away, unless you have auto insurance with AAA.