There are many different ways to transfer your 8mm home movies to video. Of course you can send your films to a professional who'll transfer them for you. The easiest way to DIY is to just project it on a white screen and tape it with your digital video camera. Remember: the lower the light, the better! This way you'll avoid a bright spot in the middle of your screening.
Make the screen-size very small, use your zoom-lens of your projector. Best is to use a projector with adjustable speed. Look on your video-monitor to detect 'black bars' and adjust the shutter of your video camera and/or the speed of your projector until these bars are gone. This is by far the most simple and cheapest way to transfer your super-8 or 16mm. movies, but quality is not as good as professional scanning.
Take look at this (short) movie to get an idea of how to set it up:
An alternative option is using a glass-screen, specially made for the purpose.
You can go through the films yourself with a cheap super 8 editor so you can determine which parts you want to transfer.
If you're willing to spend some money, you can also buy equipment, for example the Video WorkPrinter or Video CineMate you can do it yourself with professional results, but it's expensive...