Why should my insurance company pay for anything, if the other driver caused the wreck?

If you purchased first party coverage, your insurance company will get reimbursed at the end of the case, after you are fully compensated. It also must pay its share of attorney fees and costs.  First party medical coverage for Auto Insurance is called Personal Injury Protection (PIP), and covers medical expenses and wage loss.  PIP coverage must be offered to you when you purchase a policy.

What Should be Documented?

Obtain all contact information from the other involved parties, including names, addresses, driver's license numbers, insurance information, and take photographs of your injuries, vehicle damage and the scene.  Witnesses may change address, phone numbers, or fail to respond after leaving the scene.  Evidence may get lost or altered.  You should refrain from documenting injuries and damages on social media, that evidence may be discoverable in your case, even if your settings are private.

The other driver's insurance company is calling me, what do I do?

Do not give a recorded statement to the insurer for the at fault party or provide a medical release before talking to a lawyer.   Cooperate with your own auto insurer.

What should I expect at the start of my injury case

Proper treatment of the injuries and securing evidence is the primary concern.  Value of your case cannot be known short of a thorough evaluation concerning all facts, damages, and medical prognosis.  From me, you can expect a straightforward answer to all of your questions.