This might not have a lot to do with moving, but once I learned this tip, a whole new world opened for me. I love flowers, and every once in a while, Mr. Move-a-lot will stop by a grocery store or gas station and pick me up a small bouquet of something. Carnations, daisies, I love them all. But, of course, they ususally die in a day or so.
UNLESS you put a tiny little bit of bleach in the water. Toss out the plant food that comes with, add a quarter to half a little capful of bleach and those flowers will keep going long and strong. Right now I've got a simple little bouquet of flowers that someone got me still looking fresh and it's been OVER TWO WEEKS since I got them.