H61 series is designed to be an entry level board chipset and will not allow many of the performance features + integrated graphic
P67 & H67, they are just 2 slightly different chipsets for different user segments. Intel's graphics core is integrated onto the CPU chip itself (hence the meaning "die").
P67 does not support integrated graphics ussualy or overclock
and detail different above you can find in : http://en.wikipedia.org/wiki/LGA_1155http://ark.intel.com/compare/52807,52806