Nowadays just about anything will get you by.
If you have Windows 7 or 8, Windows Moviemaker is a free download (part of Windows Essentials). I'm not sure about pre Win7.
If you're on a Mac, iMovie will usually do the trick but I recommend SmartConverter at a minimum to "preconvert" the video (iMovie has a lot of formats but always seems to be missing the one I need). I've always also had a copy of Toast Titanium which I use to archive and grab AVCHD video from my cameras and to burn DVD and BluRay player compatible discs.
I like free and spending no money on this stuff is a great way to jump in. That way you know what you need rather than just guess at it. The one thing I would say was a necessity for me once I got a foot hold in was a media drive to archive my music, photos, and video. The space disappears quick when you introduce video into the mix. You've got your archive, your working files, your editing files, and your finished product. A ten minute video can easily scatter 10 GB or more around your drive using raw video and highest resolutions. I've got almost 2 TERABYTES just converting VHS to digital and another 600 GB from raw miniDV files. AVCHD is much more forgiving but is still massive using the highest quality settings.
2013 V Star 1300 Deluxe
OEM Tall Sissy Bar
Memphis Shades Fork Deflectors
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Baron's RSTD 7308 bar