There are 5 ways to obtain U.S. Lawful Permanent Residency. They are through family, through employment, through Asylum or refugee process, through investment, or through the lottery.
For family, it must be immediate family such as U.S. Citizen spouse or U.S. Citizen children over 21 in order to be able to come immediately. U.S. Citizen or Lawful Permanent Resident parents or U.S. Citizen siblings, or Lawful Permanent Resident spouses can also help you, but the wait for that is about 4 to 12 years or so.
Through employment, you would have to generally prove that you would not be taking away a job from a U.S. worker and the less experience and education you have, the harder that is to do.
Through Asylum or Refugee process, you must prove that you will be persecuted, tortured or killed if you stay in your country and that this will happen to you because of your nationality, race, religion, political opinion, or membership in a particular social group, not because you would run the same risk as anyone else in your country to fall victim to a crime or bad economic conditions.
Through investment, you are looking at generally $1,000,000.00 for a residency, or $500,000.00 in an area designated as a high-employment area, plus in both cases the investment has to create 10 or more jobs for U.S. workers.
And through the lottery, it would be very difficult to win one of the 50,000 visas available per year and some countries do not qualify (Canadians cannot qualify).
Then there are some visas available where you can stay temporarily and then later change to Lawful Permanent Residency if you qualify.
Some of the visas available through employment (if you have a job offer and you qualify) are:
H-1B for professional workers
H-2A for seasonal agricultural workers
H-2B for seasonal nonagricultural workers
H-3 for industrial trainees
Then there are the F-1 and M-1 for students and J-1 for exchange visitors.
And then there is the E-1 for treaty traders and E-2 for treaty investors (these types of visas are not available in all countries).
Here is a link to most of the available non-immigrant visas
The TN visa is another possibility for Canadians:
I am truly sorry. I wish I had better news for you, but the options are limited to be able to come to the U.S. to live. Please let me know if you have additional questions and please do not forget to rate my service to you (not the state of the law) as that is the only way that I can get credit for my assistance to you. Even after you rate the service, I can still answer additional questions for you without additional charge. If you do rate me positively, a bonus is always appreciated. If you would like to request me in the future, just go to http://www.justanswer.com/law/expert-guillermosenmartin/ and make sure you type: FOR GUILLERMO on the subject line. Thank you!