Hello, Lora!
The walk from Magic Kingdom Park to Chef Mickey's at Disney's Contemporary Resort is a leisurely 10-minutes, along a well-lit, smooth, level, paved path. When we stay at Bay Lake Tower, also located at Disney's Contemporary, we tend to walk to Magic Kingdom.
On the other hand, it's always a treat to ride the
Monorail from Magic Kingdom to the Contemporary Resort, especially since this is the first stop from Magic Kingdom's Monorail station. The ride itself is part of the fun, so much so that there are T-shirts in the park which celebrate Guests' favorite monorail quote (in Spanish) regarding stepping away from the doors. It's also such a treat to arrive and get your first view of Grand Canyon Concourse from that level.
Have a wonderful vacation! Be sure to send more questions as you think of them! We love to help!