Hi Taryn!
Thank you for visiting the Moms Panel!
The two best ways to travel between Magic Kingdom Park and Disney's Contemporary Resort are either by using the walkway, which takes approximately 10 minutes, with no waiting times!, or you could use the Magic Kingdom monorail which will take you directly to Disney's Contemporary Resort (which is the first stop), and this takes approximately 8 minutes - but don't forget to include waiting times.
I think if you allow 30 minutes to travel from the Magic Kingdom entrance, using the monorail, you should have enough time.
If you are walking, I would suggest allowing a minimum of 20 minutes.
Enjoy your breakfast at
Chef Mickey's! If you have any more questions, please come back and ask me - I would be happy to help you plan your magical vacation!