How Likely is It to Move or Damage Juvederm with Skin Picking? Had It Injected 3 Wks Ago

Unless you squeeze the Juvederm out, you probably are not hurting the product but you definitely are not helping your skin's appearance. You might want to seek professional help for the nervous habit since it can result in scarring. 

Rest assured that your Juvederm is fine but picking is a lot harder to stop than those that tell you to quit picking might think. The picking can cause scarring and there are some medications that might help you stop. Some are even non-prescription. As for the sebum, ask your dermatologist to prescribe some Retin-A or Tazorac. 

I agree with Dr. Rueckl that at 3 weeks out the Juvederm is likely situated and really not an issue.  The issue, however, is picking at your face.  The degree of scarring from picking can be extensive and permanent.  If ongoing it can lead to a picker's nodule or to more serious conditions like lichen simplex chronicus or even prurigo nodularis...which are also a result of externalized stress.  It may very well be in your best interest to see a dermatologist to have this evaluated.  There are things we can offer to help you with your "sebum" problem and hopefully redirect your outlet for stress.