Before I get into this part of the discussion I want to say that I am not bias one way or the other towards Intel or AMD. I've used both products with success in the past and continue to do so without a problem. A competitive market between these two giant manufacturers is a good thing for all consumers. Here's a few advantages to think about for each brand:
For Daily Use
Intel is winning the single threaded performance race. There is also no question that in its higher-end CPU Intel has a clear advantage right now. This is based on countless benchmarks and tests across the internet and the results do not lie. If I'm looking for a high-performance CPU above the $300 range, right now, I'm going with Intel.
Yes, Intel has hyper-threading technology, but AMD clearly gives you more real cores for your money. For Under $200 you can get 8 cores of processing power that can be tweaked and overclocked to give you quite a bit of bang for your buck. While Intel may have an advantage in the gaming performance category it's important to take into consideration other benchmarks if you do audio/video work. In addition, AMD's new Trinity APU line is truly a competitor against Intel's new Ivy Bridge i3 processors, especially if you plan on using the integrated graphics. Anandtech is the site you should use for performance based benchmarks in just about any category.
If you are getting the processor for gaming then I would suggest you to go for AMD's latest APU processors,as they have integrated Radeon HD graphics which will perform far better than Intel HD graphics.Getting an Intel would be fair but you have to spend more on Graphic card.If budget is not a problem then obviously go for Intel with a dedicated card.
And about APU's,they cost less and perform well in gaming.
So the choice is yours !