You are going to get so many answers, most not very positive.
The bottom line in you most likely cannot find property on your own for free, as many properties on Trulia and other websites are not available any longer, or in some type of distressed situation.
You also are not paying the agent, the owner pays the agent commission, so even if you do find a property the agent will be paid, and you will still not be getting your own representation, and why would you want that?
It is the largest purchase of your life, I do not believe that worrying about an agent making their living should be your biggest concern it should really be finding the BEST agent to represent you, because a real estate purchase is also the most complicated purchase of your life.
South FLorida Brokers