when I give my crypto exchange my public address of my wallet to do a transfer , does the exchange know from the address any info like the wallet I am using....or?
AFAIK. Nope, they have no idea of what type of wallet you're using if you give them your address. I guess that you're so concerned with your privacy and this question has been made in your mind. So your thought process them having an idea of what kind of wallet you use, there is no need to be worried about it because there is no way for them to know it unless there's that tool that make them determine that or you're going to tell that to them upon KYC interview or such.