So, I was thinking after I have played skyrim since its release and have done pretty much everything again, and again, I was thinking of getting it for my pc so I can mod and lengthen it's lifespan , I was wondering since I have no knowledge of what's good and what's not can anyone help me?
SPECS
Machine name: HOME-HP
Operating System: Windows 7 Home Premium 64-bit
Language: English (Regional Setting: English)
System Manufacturer: Hewlett-Packard
System Model: p6653w

Processor: AMD Athlon? II X2 250 Processor (2 CPUs), ~3.0GHz
Memory: 5120MB RAM
Available OS Memory: 4864MB RAM
Page File: 2451MB used, 7273MB available

DirectX Version: DirectX 11


Card name: ATI Radeon HD 4200
Manufacturer: ATI Technologies Inc.
Chip type: ATI display adapter (0x9710)
DAC type: Internal DAC(400MHz)

Display Memory: 2428 MB
Dedicated Memory: 252 MB
Shared Memory: 2175 MB
Current Mode: 1024 x 768 (32 bit) (60Hz)
Thanks again

You'll need an actual video card to run Skyrim, not an integrated chipset like you currently have. That may mean an upgrade to your PSU will be necessary as well.

If you post on http://www.gamesas.com/topic/1440306-the-community-tech-thread-no-125-quasquicentennial-edition/, someone will be able to help you out.