You can transfer both stills and video either over FireWire (IEEE 1394) or USB. Whichever interfaces both your camera and computer support should work (refer to manual if unsure what your hardware is capable of).
Most Windows PCs come with USB (USB2 these days), some also include FireWire. Macs come with both, I believe.
If still having trouble, post your computer model (Dell Dimension 4800, Apple iMac G5, etc) and operating system version.
Check this FAQ out (I've never used their software, but the discussion is very accessible): http://www.jellypie.co.uk/video_editing_faq/video_editing_faq.htm