I would. If you take items which are contaminated with toxic molds with you to your new (presumably clean) place, you will risk cross contaminating the new place.
If it is bad enough that you had to move, I would seriously consider NOT risking it.
We replaced ALL of our clothing also when we moved from a mold contaminated place.
Went shopping, and got all new shirts, pants, etc....
My wife is a microbiologist and I am a retired scientist.
It is not worth the risk in my opinion if you have confirmed toxic mold contamination.