I have never used Yesterday’s News but CareFresh definitely prevents odor. There is also another product, I do not remember the name–I got it from a Canadian chain petstore that has moved into the US; it is a finer white substance and absorbs the odor even more so the CareFresh lasts a little longer.
On a more practical level–there are a number of types of wood products you DEFINITELY DO NOT WANT TO USE WITH YOUR RABBIT–they contain resinous oils that can damage the rabbits lungs. DO NOT USE CEDAR! If you must use wood, use kiln-dryed Aspen–that is the only one I know not to contain resinous substances. I did not appreciate this for a number of years until I had older buns and they breathed far more easily with either paper litter or even cloth towels.
A buck can have quite a musky smell–neutering will reduce the odor in his urine (Flemish bucks have the WORST smelling urine; you can’t keep those in a house without neutering ’em! Whew! Lol! I have to laugh at my boys).
Also, a bowl or pan of vinegar in the room tends to take noxious odors out of the air as does regularly airing a room.
ENJOY the Move! I hope it goes easily (moving can be such a hassle!)