Get a Z77 board, that H61 is pretty old and wont support Ivy Bridge CPU's without a BIOS update (which ou need a Sandy CPU to do)
A Gigabyte GA-Z77-D3H or AsRock Z77 Extreme4 will be good.
You can half the RAM to 8GB. Also get a low profile kit like the G.Skill Ares or Corsair Vengeance LP.
I would upgrade the GPU as well, it is quite weak and will bottleneck the rest in games.