My question involves an injury that occurred in the state of: Virginia

My daughter was injured in an accident and I am trying to decide whether to hire a lawyer or negotiate with the insurance company. My question is what things should I look for in choosing a lawyer and do all lawyers basically charge the same thing? I have heard that the standard is 1/3 of the settlement plus fees. What is typically NOT included in the straight 1/3 of the settlement and is there a way of getting a ballpark idea of what those additional fees would be?
Also, is there any advantage to hiring a local lawyer versus a lawyer from a larger firm in a distant city?