Hi I Need Help With Choosing A Graphics Card

Hi there, i hope this is this right place to post, i know the basics about computers and i need a little bit of help. I dont have alot of money so please understand i cant just buy a "New" computer.

I currently have a HP Pavillion a1525a.

Here's the specs from the HP site.
http://h10025.www1.hp.com/ewfrf/wc/...0011&cc=us&dlc=en&lc=en&jumpid=reg_R1002_USEN

System Specs are : 2.8ghz Core 2 Duo, 2GB DDR2 RAM (which i upgraded) & Integrated ATI Raedon graphics card.

I have the PCI Express x16 slot but i want to make sure i will be able to run a Geforce on my motherboard, Here's my motherboard specs.

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Manufacturer: ECS
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Motherboard Name: RC410-M
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HP/Compaq motherboard name: Asterope3-GL8E

Like i said i dont have alot of money so i cant afford to get the wrong geforce card.

i was looking at this one...this is pushing my limit but ive read its decent for the price.

NVIDIA GEFORCE 8600 GT 8600GT 1GB PCI-E Video Card

http://cgi.ebay.com.au/NEW-NVIDIA-G...ryZ40156QQssPageNameZWDVWQQrdZ1QQcmdZViewItem

So if this will work with my motherboard, do i just plug into the PCI slot and it will work?I just want to play GTA San Andreas thats all. thanks i hope someone can help me.