Since you are "In the dark about the whole graphics card thing" I will provide a bit of extra information to help clear things up (hopefully).
The first thing you want to look at when upgrading your graphics card is the expansion slots on your motherboard, since this is where the graphics card will go. If I am not mistaken, this should be your motherboard
If you look in the specifications tab, you will notice a tab that shows ' expansion slots '. These are the slots that your graphics card ( or sound card etc. ) will be able to fit into.
Your motherboard has 4 expansion slots, nice! To give you a better idea where these are located I made an image with the slots surrounded in Red. ( I'm sure you already know but if you don't here ya go ).
The blue slot is the PCI Express x16 Slot. The small Cream colored slot is the PCI Express x1 slot. And the 2 bigger Cream slots are the PCI slots. Hopefully this clears things up.
So now that is out of the way. Hopefully you have a better understanding of what to be looking for. Now it is time to pick a graphics card to upgrade to. We are going to pick a Graphics card that fits into the PCI Express x16 slot.
This is the card I have chosen: http://www.newegg.com/Product/Product.aspx?Item=N82E16814487055
The reasons I chose this card is that it is in your Budget range of course. Also it is small and compact since I believe your motherboard is a Micro ATX, which leads me to believe your case isn't big. So hopefully this card will fit into your case. The Dimensions for this card are: (L x H) 2.7" x 5.7"
I believe this card should be a nice upgrade from the GT 220. I could not really find a better option with your budget. Also, if you notice the Graphics card is a PCI Express 2.0 slot. This will still work with the PCI Express x16 slot.
Hopefully this helps clear things up! If anything I hope I put you on the right track into upgrading your Graphics Card. Happy Gaming!
Edited by Frizzlee, 08 May 2016 - 07:37 PM.