Prodding the button on the left should give you a site map.  I'd be interested in knowing how well it works and what you think of it.

Chocolate Block.  Easy, cheap and unreliable - try to avoid where possible.  Useful to keep a few in the toolbox for lashups but not advisable for permanent connections.

Scotchlok  Crimped with a pliers these allow one wire to be joined to another without breaking it.  No cable stripping is neccessary - the joint has insulation displacing blades.   Personally I don't much like them but as long as parallel jaw pliers (such as a Mole Wrench) are used they seem to work quite well.  In some cases where access is difficult or there is no spare cable they can be very useful.  The joint is not water protected though.

Commonly used for adding accessories in low voltage circuits.

Crimp connectors.

Reliable and easy to use (with the right tools).  Better than a soldered joint

HOWEVER, you really must use the right sort of racheting crimp tool such as the one shown on the left.

If you use normal pliers or the rather nasty cheap tool commonly seen in kits of these connectors such as the one shown below then crimp connectors will be troublesome and unreliable.

We don't sell these!

Crimp connectors are colour coded for the diameter of wire they are to be used with.  Although supposedly standard different manufacturers sometimes quote very slightly different ranges for the crimps.

Red - 0.25 to 1.6mm (22-18 AWG)

Blue - 1.0 to 2.6mm (16-14AWG)

Yellow - 2.7mm to 6.6mm (12-10AWG)

Heatshrink Connectors

Components

Crimped

Heat shrunk

Closeup showing melted adhesive bonding to cable producing a sealed joint.