I want to improve Minecraft FPS. Graphics card recommendations?

Hey guys, I'm new to this website (and I'm not very good with technology at all) so please bear with me.

I recently got Minecraft for my computer but the problem is that it lags too much. I have NVIDIA GeForce 6150SE nForce 430 (it's an integrated one).

I was told that upgrading it would greatly reduce lag. I don't really play any other games on my computer so I don't want a ridiculously expensive one.

My CPU is AMD Athlon(tm) 64 X2 Dual Core Processor 3800+
I have 4 gigs of RAM.
Any suggestions? I heard that if I just install an external card, my computer would just ignore the integrated one. Is that true?
Thank you very much in advance...
 
Yes you've got all the information correct.
If you have any information about your power supply, do post it here.
Someone else who's smarter will probably have an actual graphics card recommendation.
 
Can you please tell me exactly what to look at when I open my computer, so that I won't miss anything and have to open it again? I know there's a sticker but is there anything else?
 
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