You'll find price/schedule information in the links found below:
The Mandara Spa located at the Swan/Dolphin Resorts is part of the prestigious Steiner family of spas found in the most exclusive resorts worldwide. Steiner also owns and operates the spas found on the Disney cruise ships as well as the spa located at the Portofino Bay Resort at Universal.
The Mandara Spa is Asian themed and offers offers a full line of massage and beauty treatments. Although the men's locker room is small, the common areas are spacious and well appointed. The staff is knowledgable and Elemis products are used in the treatments.
This location offers two hours of complimentary childcare at Camp Dolphin when scheduling treatments at $75 and up.
The other full service spas located on Disney property are found at the Saratoga Springs Resort and Spa and the Grand Floridian Resort and Spa. They are owned and operated by Niki Bryan Spa. Both facilities use Sodashi products in their treatments:
Formerly the Spa at the Disney Institute, the Saratoga Springs Spa offers a full range of treatments including a Adirondack Stone Massage.
Disney's Grand Floridian Spa
Spa services at the Grand Floridian Resort location can be booked up to 4 months in advance.
Additionally, you can visit one of the health clubs found at the following resorts and make an appointment for a massage. The choices are limited and the facilities not as 'lush' as found at one of the dedicated spas:
Not too far offsite is Gaylord Palm's Canyon Ranch Spa. This is considered one of the finest in the area. While pricier than the others, if you're looking for a deluxe Spa experience, the Canyon Ranch is a quick drive or taxi ride from Disney property.