This sounds like a wonderful vacation that you have planned. Your Resort can take care of transferring your luggage from one Resort to the other. To get to Whispering Canyon using Disney Transportation, you can take the bus from AofA to Magic Kingdom and then take the ferry from Magic Kingdom to Wilderness Lodge. To get from Wilderness Lodge to Blizzard Beach, you could catch a direct bus from Wilderness Lodge. And to return to Animal Kingdom Lodge, just hop on a direct bus from Blizzard Beach back to Animal Kingdom Lodge.
I would consider taking a taxi from your Resort to Wilderness Lodge if you are anything like me and could use the extra sleep. Taxis are generally waiting outside of your Resort.