No. You won’t lose points for multiple credit pulls. You can have your credit pulled multiple times in a 30-day period and it only counts against you once. You’ll lose a max of 2-4 points, if that.
Your better play would be to find a reputable broker from this group and have them shop your loan around to multiple lenders to find the best deal.
That way, you’re not having credit pulled a ton and you won’t receive a bunch of different information from different people.