My friend used Copaxone for years and it worked really well for her. Her problem was when it was deemed her MS moved into Secondary MS, as Copaxone isn't licensed for this, she was taken off it and has become really ill since she's not taking it any more! So unless Copaxone gets its license for Secondary MS anytime soon, you need to bear that in mind.
My other friend was asked to choose a DMD and asked her neurologist, if he was in her position, which drug he'd choose. He wasn't happy about being asked this, but as she pointed out, she hadn't had his years of medical training, so she wanted to know which DMD he'd choose? After some time he eventually gave his answer "I wouldn't take any of them..." so she said neither would will I then!
And that is a choice they often forget to tell us - you don't HAVE to take DMDs at all. When they first came out you had to be "ill enough" to take them! Now it's the fashion to put everybody on them immediately. They helped my first friend but have harmed others so take your time and don't feel pressured into a choice!