Hi there, Tonya!
Traveling around Walt Disney World is a breeze when you use the
Complimentary Resort Transportation. The most important thing to keep in mind is that the buses do not travel from one Resort hotel directly to another.
The best way to get from Disney's All Star Music Resort to Disney's Grand Floridian Resort and Spa will be to take the bus over to Magic Kingdom Park. From there, you can either take the monorail or a boat over to the Grand Floridian. I always recommend allowing up to 90-minutes of travel time just to be on the safe side. The other thing you could do is grab a taxi if you want to sleep in just a little bit later. It typically doesn't cost more than about $20 (including tip) to get from one place to another within the Walt Disney World Resort.
In order to get back to your Resort after having dinner at Boma, you'll want to take a bus to Downtown Disney where you can then catch a bus back to your Resort hotel. You could also take a bus to one of the Theme Parks and switch to a bus heading to your Resort, but it's important to keep in mind that transportation will only run until about an hour after the Park closes for the evening.
Thanks so much for stopping by the Disney Parks Moms Panel, Tonya, and I sure hope this helps!
Please don't hesitate to write back in if we can help with any other questions you have.
Wishing you and your family a Pixie Dusted vacation!
~Jackie