All three cubes can be fully dismantled, the easiest being the GTS (the caps are held on with pegs), next being the Air (each piece has a screw), and the hardest being the Valk (unified feet with a split piece structure, people seem to have found it rather fragile).
In terms of noise:
-Valk: By far the loudest. I think it's because of the open cuts on the corner pieces, but it makes a very noticeable and generally irritating sound. I don't think it can be called clacky or clicky, it just sounds like it's moving. As my mother has described it: "It sounds like the plastic is broken in some way even though it's not."
-GTS: This cube makes a more high-pitched clicky noise with a lower pitch clackiness. It's on the loud side of cubes, and I've definitely had people notice it when I use it in public, but it's not that loud.
-Air: This is the only cube I have that I've been able to be effectively silent with. It's one of the quietest cubes on the market, if not the quietest.
As for spring noise, properly lubricating the cubes eliminates it in all three. If you want to be absolutely sure, though, the Air is the only one where spring noise is technically impossible, as the nuts contain the spring and don't rotate on either end. I have encountered a bit of spring noise from the springs compressing, but only for the first few solves after putting new ones in.