My Experience is that the Apple was better in situations where there is a canned iTune app, like Facebook.

But, the Surface was much nicer for general use like news aggregators and, especially, Office compatibility. I also much preferred the Surface for Mail, for the reasons mentioned below.

In general use, the larger Surface screen worked far nicer and was not as 'effectively' crowded in the horizontal orientation compared to the screen layouts used on an iPad app in either orientation. Returning to iPad apps after selling off the Surfaces to bankroll a newer Surface upgrade made me appreciate this fact. I often feel like the iPad screen presentations are far too shoehorned together.

Other than storage size, there is nothing else that is different between the two.

The physical aspects of the device are improved:
Thinner, lighter, and better battery life. The kickstand has two positions

It has an updated processor chip, so it should run quicker.
Updated video specs as well.

USB 3.0 for quicker speed.
You get 200gb of storage on SkyDrive, for 2 years
1 Year of Skype

If you are cash strapped and won't be downloading alot to your Surface 2 you can get away with a 32GB and always buy a 64GB SD Card for extra space. Although if you can afford the 64GB model I say go for it. You can also attach a 64GB SD Card to the 64GB Surface 2, Its always good to have extra space.

As for the keyboard. If you like the feeling of pressing on a key when typing I recommend the Type Cover. The Touch Cover is good too and has a nice feel to it, but you might miss the feeling of knowing you actually touched the key when typing.

The Type and Touch Covers come in two models the second model (Touch/Type Cover 2) has a keys that light up while the original keyboards don't.

It all depends on your budget, but if you have the money I recommend the Surface 2 64GB with Type Cover 2.