Hi Ashley,
Thanks for visiting with your great question. I think you'll have a wonderful time at
Chef Mickey's! Since you are driving, I recommend parking at Disney's Contemporary Resort during your meal. Because you have a reservation, you should be able to park there with no problem.
However, if you plan to visit the parks after you eat, you will need to move your vehicle to another lot, such as the Magic Kingdom parking lot.
If you don't want to move your vehicle after your meal, you do have the option of parking in the
Magic Kingdom parking lot about an hour before the park opens.
Take a look at park hours for the day of your visit to make sure the timing works out.
Please let us know if we can answer any other questions for you, Ashley. Wishing you a magical vacation!
Andrea U.