The quality of cameras on phones have improved so much that they are now an excellent option for shooting stop motion. Sure, programs available for a computer have more features, but if you don't have a camera that can provide a live video feed to the computer, a phone or tablet is a very good option. This tutorial takes a quick look at that option.
Please see my other tutorials covering a wide range of stop motion methods and techniques.
Software: Stop Motion Studio for iOS. Also available on Android. If you have a favorite stop motion phone app, please tell us about it in the comments.
Editing in Adobe Premiere Pro. I have not had the opportunity to try out free or inexpensive alternatives for Windows.