I have never been to the ANA Museum; but I've been to two of their conventions, and can say that they are well worth the visit -- the conventions are like a traveling museum. You can see coins which you will never be able to afford -- like in Baltimore, when 4 of the 5 known 1913 Liberty Head nickels were on this display (and then someone walked in with the fifth, which for years had been believed to be a fake).