I have been on Copaxone for 4 years. Copaxone is not an interferon so there are no flu side effects. It does sting and you are left with an itchy lump for a few days. Since you inject daily, you are chronically a bit lumpy and itcy. I don't have any real issues with it. It is pretty simple. I don't think about it much at all; it become like brushing your teeth or showering or whatever.
There is no way to know if being on a disease modifying medication would have made a difference over the last ten years. I would no way take tysabri as a first med. I am not sure your insurance would even allow that due to its expense. I wouldn't take Tysabri anyway, but that's just me.
Oh by the way, no med. stops this disease. They only slow down things (if they work for you). I don't know anyone that has gone ten years without a flare either on or off meds. You did really well to do that long.
By the way (#2) it's "relapsing/remitting MS"........also known as RRMS)
Best of luck! I hope you can find something that will hold things off again for at least another ten years.