Just gonna say what already been said but might add some more.
The H-series from Asus is the really budget versions, I've never even looked at those because they never have overclocking capacity and with a K-series cpu you really want that, even if you're not overclocking.
I'm not sure about this but do you have the turbo boost in your bios, if not that alone is a reason to get a better motherboard.
The Turbo boost clocks your cpu with a few hundred megaherz (my 2500K from 3.3GHz to 3.7GHz if needed) and it will do the same to your 3570K, same socket but while mine has the Sandy Bridge chip yours has the Ivy Bridge chip.
I recently got a new mobo because my old Asus broke down (gonna send it for warranty repair) but since the socket both you and me have right now are old compared to what is used today there wasn't that much to chose from, but I found a pretty good one called
AsRock Z77 Xtreme 3, it wasn't the cheapest one but I'm really happy with it, it has everything I need and more.
Also a reason to get a better chipset than the H61 that you have now is that it will handle your memory better, well easily said, your computer will get faster.
If you upgrade your mobo today, I just have one big tip for you, get as many SATA3 slots as possible because there you have a huge performance boost in loading compared to the old SATA2, also USB3.0 is like night and day compared to USB2.0!
Just my fiftyeleven cents!
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