Good Morning, @chickytina. Congratulations on your recent transplant! I am a liver and kidney transplant recipient, and I am familiar with the shaking hands, the tremors, that you are experiencing. In fact all of us transplant recipients share that medication side effect.
I transplanted in 2009 (liver and kidney). In the beginning, my dose of antirejection meds was at a higher level that it is today. My tremors were bothersome, even frightening until I spoke with my transplant team, and they assured me that it would go away (or become less bothersome) when the meds were reduced to a maintenance level. I don't recall how long it took, but the tremors did become reduced as my Tacrolimus dosage was reduced. I do still get tremors periodically, and it most noticeable for a while aster my morning meds.
I am guessing that you are still on high doses of your medications because of the recent transplant. Your body is still getting adjusted to your new lungs and to the medication.

Here are some discussion where medication, particularly Tacrolimus, and side effects is being shared by fellow transplant members. I invite you to take a look, and to join in the conversation.

-Transplant anti-rejection medications. What's your advice?
https://connect.mayoclinic.org/discussion/your-anti-rejection-medications/

-Tremors post kidney transplant
https://connect.mayoclinic.org/discussion/tremors-post-kidney-transplant/

Have you spoken to your transplant team about this? They will be able to tell you if your tremors are normal for your stage of recovery.