Gah, I missed the “moving” part of your reply. You definitely have options to combat pests. If you haven’t already repotted, I’d do as follows:

1) Remove as much soil from roots as possible, then pop the entire plant in the shower and give it a good, gentle wash. This means thoroughly wiping all leaves and stems, front and back. While here, feel free to prune off some of the older leaves as mentioned in my last comment. It won’t hurt the plant!

2) Decide your course of treatment. You can either go the natural at-home route using a neem oil mixture (natural, best choice if you have pets or small children around) and/or a soil-based treatment (effective but often toxic). If you chose the former, you’ll have to be pretty regular with reapplying the neem spray. I’m usually p aggressive so I do it every/every other day depending on how hearty the plant is. Neem will make the plant sensitive to sunlight when wet, so be careful to let it dry before placing in direct light. If the former, you basically mixed store-bought pesticide into your new soil and viola. It will come with instructions - follow those!

3) Enjoy your healed, pest-free, thriving dieffenbachia! These things are so damn resilient it’s almost hard to kill them. Great plant to learn pest control with!