Take the luggage down to Bell Services at the Contemporary and tell them you are transferring to AKL. They will put tags on it and take it. When you get to AKL inquire at their bell services about your luggage.
Unless you're trying to avoid a tip, there's no reason for YOU to take your luggage to bell services. Call bell services, and they will come to your room and get all your stuff.
I assume they do. I was staying at CBR in March and switched to Dolphin for my last two days and they transferred the luggage for me. I don't see why they wouldn't do the reverse.