We go to Can Pastilla. It's just outside Palma, but not close enough to S'Arenal to be badly affected by the German 18-30 crowd. 5 minutes in a taxi or bus from the airport.
It's a small town, more touristy than it used to be but not high-rise like Magaluf or Palma Nova, loads of bars, cafes, restaurants and shops. It's at the end of Playa De Palma so there's a big, long sandy beach with loads of watersports if your teen is active. There's a coastal path that runs all the way to Palma which is great for walking or cycling.
To stay, the Apolo is nice and has both indoor and outdoor pools.
Roc Leo has lovely staff and is geared towards cyclists if that's your thing.
Helios has a massive pool.
Illusion Calma is cheap n cheerful all inclusive with a spa.
Alma Beach is sophisticated adults only and has a rooftop pool - you get some good freebies if you book direct with them, upgraded room, bottle of fizz etc.
For self catering the Embats Apartments are good and the sea/sunset views are amazing, there's no pool but you are literally right on the beach.
The buses to Palma are cheap (about 2 euro each), frequent and take about 20 minutes if you want a day out shopping or a night out in the city. Taxi back is usually less than 10 euro.
For car, bicycle or motorbike hire we have always used Royal Rent and never had any issues. If you want to treat yourself there's a place along the beach that hires out American muscle cars at surprisingly cheap rates - much fun to be had in the mountains in an open-top mustang or camero! You're just off the motorway so getting about the island from there to sightsee is easy.
If the weather isn't so good you have Palma Aquarium, which has a massive shark tank and is a good way to while away a rainy day.
The agrotourism areas start on the other side of the motorway and can be walked to although car or bike is easier, lots of dinky little one-horse villages if that's your thing.
The noise isn't intrusive but you are very close to the airport if anyone likes to do a bit of plane-spotting (looking at you DH!)
Recommended in terms of food and drink:
Mandragora cafe do the best mojitos and a huge plate of food although it's basic fare - burgers, chips, omelette, pa amb oli, pizza.
Flip Flop Cafe for tapas and sangria and watching the watersports.
Honey for takeaway kebabs and Indian.
Internacional restaurant by the marina for fish & seafood.
Osso Polar for ice-cream sundaes.
Cafe Gufo for sunset drinks and snacks.
There's also a burger king and a kfc for the teen if needed!
Delfin cafe for strawberry mojitos in a skull glass.
Futher up towards Arenal but just out of town near the motorway is Can Torrat - a parilla (grill) restaurant that does amazing meat platters and chips fried with whole cloves of garlic. You may need a car to get there though and it gets busy in the summer so best to book in advance.
We love it there, and it's great base to explore the rest of the island too.
Hope you have fun wherever you end up!