If you need a full kitchen and 2 bedrooms, your only option is a 2-bedroom villa at a Disney Vacation Club resort (also known as 'deluxe villas'): BLT, AKV, BWV, BCV, SSR, OKW, VWL
There are two ways to get a reservation for one of these rooms. You can book them through Disney, as you would for any Disney resort. These villas are pricey, and are in limited supply from Disney, as most of the room inventory at these resorts is owned by the DVC membership.
Or, you can rent a reservation from a DVC member (popularly known as 'renting points') We have a DVC Rent/Trade board here on the DISboards, where you can find members who wish to rent their points. You should definitely read the stickies at the top of the board to understand the process, and how it differs from booking a room through Disney.
Another option would be to use a service like DVC By Request, which will act as an intermediary. You tell them what resort, room type and dates you'd like, they find an owner who can make that reservation for you and make the arrangements.