Choosing an Online Source Control Solution

I have been developing applications at home for a while now. I have my own libraries and coding structures. All my applications are stored on a local disk drive and manually backed up to an external drive whenever I can remember to do it. However in this environment creating branches of code or experimenting with code changes becomes extremely difficult. I also like to have access to my code at work and often end up carrying copies around on portable flash drives. So I felt it had become time to...