I decided to update my old iOS upgrade guide with new iOS 7 based screenshots and with iOS 7.1 out (full details on Macrumors.com, Macworld.com or Apple.com), now's as good a chance as any.

Minimum Requirements

First make sure your device meets the compatibility requirements Apple has specified for iOS 7. You can check Apple's website or view the screenshot I've embedded below:

[gallery type="rectangular" link="none" ids="21912"]

Unlike your computer where you might be able to run a new game or app on an older computer that doesn't meet the minimum system requirements and just deal with slower performance or graphics, Apple's iOS updates simply won't install on a device Apple hasn't approved.

Find Settings.app

It's the gear looking icon. If you can't remember where you put it, try swiping down to use Spotlight and start typing "settings":

tutorial-upgrade-ios-00

General

Scroll down until you see General

tutorial-upgrade-ios-01

Software Update

Tap Software Update - which might have a 1 beside it indicating there's an update waiting. Otherwise tap through and it will check for an update.

tutorial-upgrade-ios-02

Checking for Update

Your iOS device will ping Apple's software update servers to see if there's a new version.

Checking for Updates

iOS 7.1 Download and Install

Tap the Download and Install option to get this party started.

tutorial-upgrade-ios-01

Terms & Conditions

Lawyer speak for "We're not responsible if this breaks your phone because, like, yo."

tutorial-upgrade-ios-02

Downloads Ahoy

It'll now begin downloading. Your download size will vary depending on what version of iOS you're upgrading from. In my case I had iOS 7.0? installed so it was a 152MB update.

tutorial-upgrade-ios-03

At this point you can switch away and use your iOS device for other stuff while it's updating. (I got a phone call during my update. Thanks Mastercard!) From my roots in the Microsoft Windows world I'm always sketchy about doing anything else while a software update is happening so your mileage may vary.

Preparing Update

After downloading it will prepare the update.

tutorial-upgrade-ios-04

...and then it will continue to prepare...

tutorial-upgrade-ios-05

Install iOS 7.1 Update

Confirm that what you've started you'd like to finish.

Note: Depending on your device and version of iOS that you're upgrading from, it can take a half hour to update. So if you have a meeting in 5 minutes, you may want to do it later.

tutorial-upgrade-ios-04

Verifying the Update

Wait! We need to verify that what we just downloaded is what we want to install. So wait!

tutorial-upgrade-ios-05

Long White Bar of Upgrade Process

Now you wait while your iOS device gets updated.

tutorial-upgrade-ios-06

Boom, You're Done

It took about 30 minutes for me start to finish. Your mileage may vary.

tutorial-upgrade-ios-07

If you navigate back to Settings.app, General and Software Update you should see that you're good to go with iOS 7.1.

tutorial-upgrade-ios-08

How does iOS 7.1 feel on your device? My initial impressions on my iPhone 4 is that it's snappier. We'll see after more extended use.

iOS 7.1 Update Out - How to Update Your iOS Device