The practical difference
With a personal loan, you borrow money separately and use it to buy the car. In many cases, that means you own the car straight away and repay the loan to your bank or lender.
With dealer finance, such as HP or PCP, the finance agreement is tied more closely to the vehicle. That can make the purchase feel smoother at the dealership, but the detail of the agreement matters: APR, fees, mileage limits, final payments, early settlement rules, and who owns the car during the term.
The key is not “which monthly payment is lowest?” It is “which option gives me the right ownership position, flexibility, and total cost for how I actually plan to use the car?”