Down payment on a 30k car?

Im debating on getting a Mazda cx-30, Honda HRV, or a Toyota Corolla Cross. They’re all around 30K. Should I put down a big down payment?

I have a 820 credit score and I’m about to pay off another car. I’m hearing both sides:

1. I should put a down payment right when I buy the car OR
2. Get the ~30K loan and put my “down payment” on my first car payment.

FYI: I will not have a trade in