Contact the other driver's insurance company, and describe the situation. (The bodily injury claim will be treated separately from the property damage claim.) The company will probably send out an adjuster to negotiate with you over the size of the claim. If they don't offer something which you consider reasonable, you can sue; expect to pay a third of a settlement to the lawyer. Keep your own insurance company apprised of what is going on. Presumably your insurer paid (or is paying) the cost of repairs, beyond the deductible; when they collect on subrogation, you will get the deductible back.
A lawyer is a lawyer is a lawyer. All lawyers go to the same law school and take the same courses. They all study the same laws and they all graduate with the same knowledge. Then they take the state bar exam and then they get a job at a law firm because education without experience is worthless.
The law firms take every kind of case they can get because they want to make money. Every case is different. A lawyer might work on a hundred different cases every year. Some cases he will prosecute and some cases he will defend. It all depends on what the client wants.
Cases involving prosecuting parents for child abuse or people for murder would be handled by the county District Attorney's office. In order to work criminal cases you would have to be an employee of the county. Those jobs are hard to get and they do not pay very well.
You should be aware that there is a huge glut in the legal field and has been for several years and likely will be for quite a few more years. There are thousands and thousands of law school graduates each year that cannot find a job. About the only work they can find is as "contract lawyers" doing research for minimum wage.
It seems that everybody and his dog, and every high school student, thinks he can become rich and famous by becoming a lawyer. Law school costs about $200,000 for the 3 years of school. That's after you graduate from a 4 year accredited college. That is a huge debt that will be over your head the rest of your life. Getting rich by becoming a lawyer is a total myth. It's a rumor that suckers fall for and end up ruining their lives by wasting their time and money chasing a dream that will never happen. Choose something else.