The specs on these two look really similar in terms of recording format, expandability etc.
The Sony looks like it has better build quality - but I don't like the fact that the microphones are internal to the body.
The Sony also costs 3x more.
You really need to go read some reviews - compare reported battery life. Also search for both models on YouTube - plenty of people post up their own reviews and samples of recordings.
You can't go wrong with either. Personally I like that the H1 provides all the quality in a much cheaper package.
Edit: To answer your question about recording quality of mic/macbook vs a dedicated recorder...
The a to d chip is likely to be better quality in a dedicated recorder, and you'll also be able to record at 24 bit, which I'm not sure you can with the MacBook. 24 bit is good, since you can set the level control to give you headroom (stop the sound from clipping) yet still get low noise/detail from quiet signals.