Congratulations, Ami! I haven't had a transplant, so I'll leave that to others. However, I agree with PG that your age will be in your favor. I did have the entire right lobe of my liver removed, due to cancer. I used a cotton blanket rolled up tight to press against my abdomen when I had to cough. When I'd healed some on the outside, I wore (and still wear at times) an abdominal binder. Nevertheless, I developed an incisional hernia...not once, but twice. Both were repaired. I had problems with drainage bags after the last one. They would clog up or leak. The last one that was placed (and sewn in) finally worked. That was last August. Infection is another thing that can happen, and is right up there with rejection in terms of things for you (and the doctors) to watch for.
Recovery is slow, but you will get a little better each day.