Glad you're planning to rent a car. It makes a huge difference in convenience and confidence when staying offsite, IMO. Timeshare resort condos often provide plenty of activities for your teens on resort days. Most also have resort-style pools, much nicer than most offsite hotel pools located close to WDW. Usually a 1BR timeshare unit only sleeps 4 people so I'd look for a 2BR unit that sleeps 6-8 people for your family. The inroom kitchens are great for saving money on breakfasts and resort day meals, especially if you have picky eaters or dietary restrictions. All of the timeshare resorts I recommend below also either offer an inroom washer-dryer or free use of one in your building, making it easier to pack light for travel.
If your trip will include any early April dates through April 15, there's a restriction against rentals at Club Wyndham Bonnet Creek. So if you book a reservation that includes any of those dates, it will be subject to cancellation without notice. If your April stay will begin on or after April 16, 2023, then I'd highly recommend a 2BR unit at CWBC for your family (1BR only sleeps 4, 2BR sleeps 6-8, depending on whether you use the LR sleeper sofa). Several pools with lazy rivers, slides, games rooms, mini golf, shuffle board, ping pong, etc. Lots for your teens to do on resort days. Excellent location for short drives to the Disney parks - just exit the Bonnet Creek resort area, turn left on Buena Vista Blvd, and follow signs to each park. Returning, follow signs toward Disney Springs until you see the Bonnet Creek resort area or use your maps app.
If CWBC is not available or not in your price range or your trip dates are in the first half of April, there are a few other very nice timeshares in the areas very nearby, that offer plenty of activities for fun resort days with your 3 teens. Sheraton Vistana Resort (not SV Villages) is just beyond Hotel Plaza Blvd, about 2 miles from Disney Springs. Also in Lake Buena Vista, a similar distance away, Cypress Pointe / Cypress Pointe Grandvillas has simpler pools but a good number of sports and activities. In Kissimmee (west), less than 2 miles from Disney's Animal Kingdom Lodge, Silver Lake / Silver Lake - Points has a couple nice pools and excellent indoor activities. Lastly, in Kissimmee (east), about 5-6 miles from Disney's Hollywood Studios, Vacation Village at Parkway has multiple pools, rec rooms, and off-road walking paths. Again, look for a 2BR that sleeps 6-8, or even a 3BR, if the price is right. Any of these four resorts many appear on SkyAuction.com or other timeshare rental websites for a reasonable price. HTH!