Good Morning, and Congratulations on your successful liver transplant and recovery! My experience has been that it takes some time for our bodies to adjust to these new medications. And over time, your medical team will be able to establish a maintenance dosage that works for you. No two of us are the same, so our antirejection medications and dosages are individualized and monitored via routine labs.
My prednisone dosage was lowered to a maintenance level, so I did not have prednisone related side effects. My biggest bother was that my tacrolimus caused me to tremble, and at 10 years post transplant, I do occasionally experience the trembles. For example: currently, my tacrolimus lab level is within my target range, but a little highter than it has been, so I am experiencing trembling, again.

You are doing the right thing to discuss this with your surgeon. I try to encourage everyone to seek the advice of their medical team, and never to make any changes on their own.
You can read about medications on Transplant Medications 101: Q&A -
https://connect.mayoclinic.org/page/transplant/newsfeed-post/transplant-medications-101-qa/Transplants>Changes after Transplant

Here is a discussion where our members are talking about changes that they have experienced. I found it to be an eye-opening experience to learn about what patients actually experience. Please know that you can add your thoughts, ideas, questions.
https://connect.mayoclinic.org/discussion/changes-after-transplant/

@mostlybill I was taken off prednisone and cellcept months after transplant . I had very bad tremors and shaking and once off those meds i was fine.