I just checked my credit score with myfico.com for the free check. It is 805. I am thinking of refinancing my mortgage. This would drop my rate by 1.5%. If I go to multiple mortgage companies for rates, will their inquiries hurt my credit score? Not sure what I should do?

When I checked zillow.com for rates, the highest range was 760 and above. Do you get lower rates for credit ratngs above 800?