Call my website functions from another website...?

[eluser]Frychiko[/eluser]
I have a site coded in CI which is a price comparison shop, but now I need blog functionality and have been thinking about how to proceed next... Right now I've just plugged in Inktype and since it's in CI it's a quick and easy solution but I will need to spend alot of time coding on Inktype since it's very basic at the moment with bugs here and there.

Then I thought, Why not just use wordpress or EE and have my comparison shop on another website and just call the website (somehow?) as widgets in my sidebar. (like top 10 products)

Does this sound like a good idea? If so, how would I go about readying my CI made shop so I can call it from another site?

cheers,
Frychiko