Skype just got some new features on the iPhone and iPad versions. An update for the iPhone app includes a feature that reduces shakiness of an outgoing Skype video chat, when you’re using the rear-facing camera.

“So, if you’re using Skype video to show friends and family what you’re up to or where you are, the image they see will be less shaky,” says Skype’s Heather LeRoy.

It also gets Bluetooth support, so you can use Bluetooth-enabled headsets to make talk hands-free via Skype. “This will make life easier while you’re on conference calls, on the road, or simply don’t want to hold your iPhone or iPad in-hand,” says LeRoy.

The update also introduces Skype’s ad platform, but paying users can avoid seeing display ads.

The iPhone update also has a security fix.

The iPad update includes support for both iPad and iPad 2. The iPhone update supports iPhone 3G, 3GS, 4 and 2nd/3rd generation iPod Touches, as well as both iPads.