All of the shoelace techniques shown on this site use the same "Left-over-Right" Starting Knot. Here's how to tie this basic knot, known as a "Half Knot" or "Overhand Knot". Don't worry, this knot is a lot easier than it looks in these diagrams!
Cross the left (blue) end over the right (yellow) end. The left (blue) end is now on the right side.
Begin to wrap the right (blue) end around the front of the left (yellow) lace to end up at the back of the gap between the laces.
Feed the right (blue) end through the gap to emerge at the front right hand side.
Pull both ends tight to complete the knot.