As much as we love our smartphones, they are sensitive from falling on hard surfaces. So often when the phones are out of warranty, or without warranty we spent big money on parts.
BrokeMyCell is one useful site for this kind of problems. Actually they are specialized in replacements of screens for iPhone 4, iPhone 4S, iPhone 5 and Samsung Galaxy S3, but they also offer repair service for any other device.
Also on BrokeMyCell you can find popular accessories like the Lightning adapter with big discount. They sell it for half of Apple price. Actually, the iPhone 5 Adapter - 30 pin to Lightning is the most sold product on the site. They sell covers, screens in various colors and most interestingly Cell phone repair glass tool kit.
As for shipping, they can ship your order on any address of the world. They'll give you estimated days in which order will be delivered, which mostly depends from your location.
Site is simple and it is well organized in order to easily find what you searching for. Don't doubt to give it a try.