Typically, it’s best to see your own doctor first. They’re familiar with you and your medical history and can provide independent medical care, which an insurance company won’t be able to poke holes in or dismiss.
However, your lawyer may also suggest specialists who understand personal injury cases and can properly document your injuries for legal purposes. Regardless of who you see, the most important thing is to seek treatment right away and follow through with the care provided.
The records created by those doctors are critical evidence in your case.