I have to say that Hemmings has some great Help Topics and thought I might incorporate a few on our Help Topic Page. I thought I would start off with a very basic topic -- Wire Splicing. I will also include a video with my recommendation - the "Lineman's Splice".
Click on this link for a run down of the basic wire splice methods and a comparison:
Hemmings Daily: Which Wire Splicing Method is Strongest?
If you read through the article you will note that the Lineman's Splice (often called the Western Union Splice) is very strong and provides a lot of contact between the wires and lays flat. Add some solder and heat shrink to it and you have a nice strong connection and is my splicing method of choice. If you have to splice wires in a moving or exposed area, or where the wires may be strssed, such as those in the door wire rubber conduit, this is a great splice.
With that, here is a good YouTube Video illustrating the Lineman's Splice.