A lot of lawyers will gladly take your personal injury cases with the stipulation that you will give them a cut of your settlement.  This is a good route to take if you do not have enough money for a lawyer upfront, which happens often because lawyers can be kind of expensive.

The thing is most of the time when they do take a part of your settlement it ends up being quite a big cut, so if you can afford a lawyer right away that is the better way to go.