That's the myth, however I've been whacked with multiple hard pulls before, so YMMV.
As for your approval chances, I'd say you're 100%. Go to a larger dealer if possible (they often have lower standards because of their sales volume). Will you be putting money down? That can seriously affect your rate. I was approved for a horrific rate with $0 down, but much lower with only $1250 down - and my scores are WELL below yours. Let us know how it goes! GL.
Starting Score: 475
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