HI! As long as you entered the country legally then you will be able to apply for your GC based on your marriage and stay here in the US without need of having to leave the country. You should defi. adjust your status if you have made a life for yourself in the US and wish to continue to live here. Good Luck!
I agree that if you are a Canadian Citizen, 'you can file' for adjustment of status in the U.S. Yet, there are many forms, documentary requirements, and ways in which you may be disqualified, even if you have never been convicted of a crime. You will want the filing to be processed in the right locations without be delayed or rejected for additional documentation.
The filing fees are about $1465 plus the cost of the medical examination. If you retain an experienced immigration attorney, you may not necessarily pay that much more depending upon the situation.
I recommend an appointment or teleconference with an experienced immigration attorney who practices in Chicago, Illinois, where the adjustment interview will likely take place. A candid attorney can discuss delays and documentary needs. The attorney can also recommend whether it is best to delay the filing or seek additional co-sponsors, among other issues that can delay your employment authorization card and adjustment interview.
The above is general information and does not create an attorney-client relationship.