Trying to track my apparent large ancestry

My name is Jason Rikkonen, My mothers maiden name was Patricia Mae Duffy. He mother and fathers name was Joy and Ernie Duffy. From what I have been told by my mother and grandparents, my great grandparents emigrated to Canada from Ireland. I have lost a lot of my Irish side of my family and I know very little. I feel as though I am loosing that side. I don't want that. My family told me that my ancestors were from the Dublin area. I have tired researching as much as I could, but apparently Duffy is a very popular name and it is practically impossible to track my lineage. Any help would be greatly appreciated. I want to track this family lineage down so that I can continue the heritage and make my ancestors proud by continuing its legacy to my kids, and then their own once I pass.

Thank you all for your time and efforts.

Jason V. Rikkonen