Do not forget to look up the reasons for socialized health care. Knowing the arguments for are just as important as know the ones against.
Just like communism in its complete and trueist form, it is a great thing for the people. Everyone gets health care, no one is left out to die because they can't come up with the hundreds of thousands of dollars necessary for say transplant surgery.
The problem is people are greedy bastards. Seriously. It's not that the drug companies and doctors couldn't get by and do this for the good of the people. It is because they have to own fancy cars and houses and make a few mil while they are doing it.
I am all for people getting health care, but I am a realist know it can't work with real people. Looks good on paper, but won't work in real life.
Make sure what you are actually against is public heathcare, and not what it will turn into. You can nit pick that instead more successfully.