Hi George,
Thank you so much for visiting the Disney Parks Moms Panel with your question. There are many options for larger accommodations at Walt Disney World!
Although they are not traditional two-bedroom accommodations, you might consider the
Cabins at Disney's Fort Wilderness Resort. These stand-alone cabins can sleep up to six people, with four in a bedroom and two in the living room. I really enjoy this rustic-themed wilderness resort. Also sleeping six people, you can consider a family suite at either
Disney's Art of Animation Resort or
Disney's All-Star Music Resort. These also have a living area which can sleep four people, and can sleep two in the bedroom, for a total of six guests. Many people especially love these suites because they have two bathrooms!
For true two-bedroom villas, check out
Disney's Deluxe Villa Resorts. These resorts are part of the Disney Vacation Club, but also offer accommodations for guests paying with traditional payment methods such as credit cards. They all include two-bedroom villas, which include a full kitchen, washer and dryer, and at least two bathrooms. All of these resorts have great themes. A couple of my favorites include Disney's Old Key West Resort, which features large villas in a relaxed setting, and Bay Lake Tower at Disney's Contemporary Resort, for a modern theme and great walking distance to Magic Kingdom.
To book a stay at any of these resort hotels, you can use the websites I linked, or call Disney at (407) 939-5277. Please do let us know if you have any further questions, George!