The one many people use is the Tiny Friends Chinchilla Sand - I'll link it below. Dwarf hammies tend to really like a sand bath. Just a dish with some sand in. Or you can get cute little pot type ones, but any dish will do.
It is true that removing things, moving them round and those kind of changes do stress them, but strangely adding something new is usually accepted very well and they explore it curiously - adds a bit of interest. So adding something new is absolutely fine now - as long as it doesn't mean moving everything else around. Is there a spot you can plonk a sand bath? Maybe moving one little thing to make space would be ok.
This is the sand - I think Pets at Home sell it as well. Also viovet online. It lasts quite a while - you can just scoop out any soiled bits with a little scoop or spoon and not change the whole lot that often.
https://www.amazon.co.uk/Supreme-Pet...gateway&sr=8-3