Hi Amy,
(Great name!) The shortest and easiest way to get to
Disney's Fort Wilderness Resort from Disney's Hollywood Studios is to take a bus. When you exit the front of the park, look for which bus stop services Fort Wilderness. That is the most direct route to take. I would allow 45 minutes to an hour to make this journey.
When you are finished with your dinner, you have a couple of options. You can take a bus to an open park, Magic Kingdom Park for instance, then transfer to a Port Orleans bus. For a change of pace, you could take a boat to the Magic Kingdom Park then take the bus back to Port Orleans. I would allow anywhere from 45 minutes to an hour and a half for this journey. If it's late and you don't want to deal with transferring, you could always call a taxi to pick you up and deliver you back to Port Orleans.
Thanks for stopping by the Disney Parks Moms Panel with your question. Please let me know if I can help you with any other questions!
Wishing you a magical vacation,
Amy H