What can I do if I am an American citizen and I want to call my parents to America to live with me?

You can petition for your parents' immigrant visas.

You can file immigrant petitions for your parents. Aside from your United States Citizenship, you will have to show proof of your blood relationships with your parents (your birth certificate listing both of them as your parents should suffice), and your ability to support them financially so that they will not become a public burden. For instance, if you live alone, you would have to show that your 2012 income was over $23,863; if you have already 1 dependent, your income has to be over $28,813, and so on. Before you begin spending money on the petitions, make sure that nothing prevents your parents from receiving immigrant visas (no history of United States Immigration law violations, no disqualifying criminal convictions, no communicable diseases, etc.) If everything will be done right, your parents should be able to join you in about 12-18 months.

You can petition for them. The process takes about 9 months. You should consult a lawyer to see what's involved and if your parents are eligible BEFORE you file petitions for them.

See if they can come to visit first. Then you can always apply for their green cards while they are here. There are some issues, however, that should be discussed with an experienced immigration attorney.

Hire an attorney to determine if they qualify and to file the application/s.

You can petition for them by filing the I-130 if you are over 21 years old.