We did something like that last year. My husband and I went to WDW a day earlier than my sister and her family. So, our first night (a Saturday night) we stayed in a studio at OKW. Then, we moved into a 2 BR at OKW the next day when my sister and her family joined us. Then, my sister's family left on Friday, and DH and I moved to a studio at BWV for 2 nights.
We did it primarily because we didn't want to have more accommodations than we'd need, but also to save points. The first day's move was not a hassle at all, as we barely even unpacked. We were even able to get into our 2 BR a little early (2:00 p.m.).
However, on the second move, we left the room pretty early due to plans for breakfast, and by the time 4:00 rolled around, we were completley exhausted and needed a break. I checked us in shortly after lunch, but no rooms were available for a while (and we weren't expecting our room to be available - just hoping). I think that we spent a few hours dozing in the BW lobby, because we literally had no energy to do anything else.
If we had kids at the time, we wouldn't have been able to switch rooms and be "homeless" like that.