Big Difference between late June / early August crowds ?

[momof3disneyfans]

Hi! We are planning our Disney trip for this summer and are wondering if there would really be a big difference in the crowd levels between going the last week of June into 4th of July weekend or going in the first week of August. We are somewhat prepared for the summer crowds as we were there last August but were curious if the crowds would be a lot worse if we went the week going into July 4th.
TIA !

Pam

DD8 DS5 DD3