Having spent 2-1/2 years on an HTC Incredible (that I mostly liked), I went to an iPhone 4S about 2 mos. ago when my HTC started getting flaky.
I gave up a time/temp app on the home screen as well as widgets. I miss widgets, but other then that I find that the Apple and the associated apps tends to work more reliably then in Android. I also use a Samsung Galaxy 7.0 Plus tablet running Ice Cream Sandwich (which I also like) and which uses Chrome as my primary browser, yet on the Samsung as well as the HTC, I experience(d) regular crashes in Chrome, on a Google OS, no less. I don't have that problem on the iPhone. Part of the reason is I think that Apple apps tend to be less buggy and I find that true across all the apps, as well as the general operatng functionality of the apps is consistent across the range, something that is not the case in Android. I had regular oddities in Biz Calender as example on the HTC, yet my add-on calender app on the iPhone is rock solid.
Since I was heavy into Google, mail, contacts, calender, Chrome, Drive, etc... I found it simple to get all this functional on the iPhone. Granted that Apple Maps currently sucks, but MotionX GPS is far superior to Google Maps in any event, so I'm not missing Google Maps much.
And then there was music. I had to use 2 different programs to port my iTunes music over to Android, one for purchased and one for all else. Then I purchased an SD card and got the music onto the HTC only to discover that the sound quality just sucked. So a lot of effort for zip, plus the cost of the SD card which I never ever needed for anything else.
So in general I find the iPhone phone a better phone as well as a replacement for my ancient iPod. Plus battery life is much better on the iPhone then with the longer life battery I had on the Incredible.
But you indicated web browsing as being important. That somewhat dictates a preference for a larger screen size then what is found on either the iPhone 4S or 5. That being a factor I would recommend an Android with a screen in size as found on the Galaxy S3 or something similar. But check 2 things, one being the physical size of the device, how it fits in a pocket and in hand when it's against your ear. Then check the sound quality when making a phone call (it's a PHONE after all) as I found the iPhone superior to my HTC and that was a deal breaker.