We have stayed at the Andaz numerous times and we really like it. And we just stayed at the Royal Palms for the first time and enjoyed our stay there as well. The Andaz has more of a lifestyle feel while the Royal Palms is a bit of your traditional luxury property. Your teenagers would definitely like the Andaz.
And if you are doing a paid/cash booking, both properties participate in Hyatt Prive along with the Hyatt Regency Gainey Ranch.