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It is my understanding that auto loan inquiries count as one HP if they hit within 14 days.
You could try calling the bank and ask what rate your score might qualify for. I also dont think applying for 1 to 2 places more would hurt your mortgage chances a year from now unless you have a large number of INQ's already. Just be very targeted in who you apply to.
@Anonymous
I had approx. six million inq's when I apped (and was subsequently approved) for a mortgage; It made absolutely NO difference whatsoever. They didn't even bring them up at any point during the process.
This isn't to say you should go out and rack up inq's; but a couple here and there shouldn't hurt.
In RE: to your original question, 4.whatever isn't a bad rate at all. You might be able to get it a bit lower with DCU, but I wouldn't go all crazy app'ing all around for a 1 (ish) point decrease.
Total Available Credit: $145,950 ||Feb 2018||EQ08-705||EX08-728||TU08-741||
I agree that DCU is good to checkout. I believe they are currently 2.49% for new and used loans, and very easy to join. Down side is that they do a HP to join and another for the auto loan.