“You’ll get a hard inquiry on your credit score for your car loan. However, if you apply with several lenders over the course of a 14-day period, it should count only as a single hard inquiry.
That said, a hard inquiry will only lower your score by 10 points. If you have multiple inquiries, your score will drop about 40 points max why applying for your BMW car loan. Unless your credit score is already struggling, getting the car loan first shouldn’t be a huge deal.
Just remember that both lenders will look at your credit utilization ratio, as well as your debt-to-income ratio. These are often just as important as your credit score itself.”