Unless you need to check in and get dining credits, there is no need to go to your second resort early in the morning. We just have Bell Services take our bags and head to a park. When done at the park, we then head to the new resort, usually in the afternoon, and check in at that point in time.
Keep in mind that luggage is only transferred once per day by Bell Services. If you plan to swim later, change clothes, etc. be sure to keep that with you just in case your luggage takes a while.
You can also take a cab with your bags in the morning. If your room isn't ready, you could leave your bags with Bell Services, but at least it would be there and you'd have access if you needed something out of your bags.