I have the Galaxy 3. DH wishes he had one instead of an IPhone. I like the pictures it takes (apart from long distance ones). Learning how the widgets works was hard but happy with it overall. Functions are good, easy to get applications etc. I have fun using the photo editing programs. The size is good.
The Note is a fair bit bigger than the S3, for me that alone turned me off the Note. It's not comfortable to hold in the hand when you are making a call. I also like something that fits in the back pocket, I actually decided against upgrading from the S2 because it fits nicer in the pocket than the S3 does.
DH likes the Note over the S3 but he uses bluetooth for most of his calls and really only has the phone in his hand for social networking and gaming. For social networking and gaming the Note is probably the better one.
I have the note 2 and DH has a galaxy S3, I LOVE my note! it's not hard to handle one hand alothough there is a option to change it to one handed use (I haven't used it) I love android 4.1.2
I did have their first galaxy tab and it was clunky and hard to fit on a hand bag, the note side by side to the S3 isn't too bad size wise. I love it's bigger screen as I spend half my reading or looking a picture heavy sites.