The effects of thyroid supplementation after thyroid surgery

In the past ten days I have found out that I have one 3.6 tumor on the left side of my thyroid and a 4. on the right. I have had 2 ultra sounds, an MRI and a fine needle biopsy resulting in a diagnosis of a TI-RADS 3, Bethesda category 111 on the left and a TI-RADS4, Bethesda category V1 papillary cancer on the right. Since each lobe has a large tumor, with one definitely cancerous and the other a "maybe" I am fairly sure the whole thyroid will have to be removed even though I would really prefer to keep the left side if at all possible. At this point, to help in my decision making, I would appreciate anyone's opinion on this type of surgery and on thyroid supplementation (synthetic or natural) after such a procedure and also how it has affected their life in general and well being?