You're not nuts. Last year we did a 3-parter: 3 nights at the Hard Rock Hotel (Universal Orlando), followed by 3 nights at the Beach Club, and then 2 nights at the Polynesian, and it went very smoothly.
If you need them, here are some tips for making the transition as easy as possible (it's what worked for us, anyway):
1 - Plan your itinerary to minimize the pain of homelessness (and lack of access to your luggage) on your "moving" days. If you do not have your own vehicle, then have Disney's Bell Services transfer your bags to your next resort. Drop them off with Bell Services before you head out in the morning, and then plan to spend the day at a park (at the very least, until after 3 or 4pm, whenever your check-in time is at the new resort - that way your room is more likely to be ready when you arrive, and your luggage is more likely to be there as well). Allow anywhere from a few minutes to an hour for your bags to reach your room once you get to the new resort and call for them. (The Bell Services person will expect a tip. We tried to bypass Bell Services when we transferred to the Polynesian, stopping by the desk in the lobby to collect our own bags, and they literally refused to give them to us, insisting that we go to the room and call for them instead. Because I'd planned on bringing the bags myself, I had no cash on me to tip the guy who brought them to our room. A year later, I still feel like a jerk...)
2 - Pack your bags in a modular fashion, to minimize the stress of unpacking and repacking - we only needed about 5 minutes to unpack and no more than 10 minutes to pack up again (and that included the obligatory "sweep of the room" to make sure nothing was left behind). I cannot recommend packing cubes enough for this purpose, although one could use large Ziploc bags or even pillowcases to accomplish the same thing. For example, when we did our split stay, each of us had 2 packing cubes of clothes (color-coded for each person and divided: one for Hard Rock and one for Beach Club, so we didn't have to unpack every one, every time). We also had a couple of Dopp kits, a small box of foodstuffs, an extra cube for miscellaneous items (e.g., phone chargers, disposable rain ponchos, clothespins), a fold-flat zip-top tote bag (it did double-duty as a beach bag on our waterpark day and a "personal item" souvenir bag on the trip home), and a laundry bag. When it came time to unpack, it was as simple as unzipping the cubes of clothing and tossing them in drawers, putting the Dopp kits on the vanity, the food bin by the kitchenette, and the bag for dirty laundry in the closet. To pack up, we simply reversed the process. Oh, and another thing: since switching hotels often means traveling with swimsuits that haven't
quite dried out from the day before, keep some extra gallon-sized Ziploc bags with you so they don't dampen other items in your luggage.
3 - Pack as lightly as possible, since you're going to have to pack and unpack several times. For our 8-night stay, we packed just 5 outfits apiece (plus swimsuits, PJs, 1 pair of sneakers and 1 pair of sandals apiece), and I did laundry on a pre-scheduled "pool afternoon" midway through the trip (so that the clothes we'd worn at the Hard Rock became a fresh, clean wardrobe for the Poly). The DVC guest laundry rooms are nicely equipped, and thanks to the laundryview app, I could monitor the progress of our load remotely. Each member of the family had a 21" rolling suitcase (plus DH and I had "park bags" - a backpack for him, a tiny crossbody purse for me) and it was more than enough space to hold all of our clothes and sundries.
(Sorry for the unsolicited advice, OP! I realize your question was more tailored toward the resorts themselves, but I couldn't help myself.)
The only resort of the three you've mentioned that we've stayed in is CBR, and for the record, we
loved it! (Caveat: We did have a "preferred" room, which minimized our walk to Old Port Royale, but we only went there a time or two anyway...) We found the bus transportation - despite the multiple depots - to be the absolute best of any resort we've ever been to, in terms of the frequency of buses. Our kids adored the pool, and we really loved the relaxed vibe and pretty theming. The only major downside for us is something that has now been eliminated -- the need to go to the far-flung and inconveniently located "Custom House" to check in and out. Now that those tasks have been consolidated into the main Old Port Royale building, I can't think of anything to complain about.
