What computer hardware do I need and what pricing range?

Advice on what? If you need advice on what parts to get then you shouldn't be building a computer
The average price is whatever you're willing to pay

"Skyrim" wants…
- Windows 7/Vista/XP PC (32 or 64 bit)
- Quad-core Intel or AMD CPU processor
- 4GB System RAM
- 6GB free HDD (Hard disk drive) space
- NVIDIA or AMD ATI video with 1GB RAM:
Nvidia GeForce GTX 260 or higher;
OR
ATI Radeon HD 4890 or higher
- DirectX 9.0c
DirectX compatible sound card
- Internet access for Steam activation
Building get a One (or two) Terabyte Hard Drive.
Check out http://www.tigerdirect.
[*] But why build an almost Obsolete machine, the current games want:
The current most demanding game is:
WITCHER 3:
-Intel CPU Core i7 3770 3,4 GHz,
-Nvidia GPU GeForce GTX 770
OR
-AMD CPU AMD FX-8350 4 GHz
-AMD GPU Radeon R9 290
with
-RAM 8GB
-OS 64-bit Windows 7 or 64-bit Windows 8 (8.1)
-DirectX 11
-HDD Space 40 GB