How many are in your group? You should be able to fit some luggage.
We used uber to do resort transfers, because we were going from value to deluxe, and you have to be staying at a deluxe to use the Minnie Van service (unless that has changed in the last month, which it could have, I haven't been paying attention!) We like to transfer our own luggage for a split stay, too, rather than letting Disney do it, because I want to be able to get into my bags anytime I want and not wait around for Disney to deliver it.
When we used the Minnie Van in January, we went from the Polynesian to our room at Kidani after dinner at the Grand Floridian. I liked that the driver took us to the Pumbaa parking lot elevator at Kidani so we didn't have to walk as far - our room was at the very end of the resort.
Be aware that sometimes it can take quite awhile for a Minnie Van to become available. Uber and Lyft can usually get drivers to you in a couple of minutes.
Make sure you already have the Lyft app already installed on your phone, it will make things easier!