If you just want to switch the motor on/off, the safest way is to buy a "powerswitchtail". You can also use an opto-isolated solid state relay, they're a little plastic brick about 30x40x10mm and contain all of the circuitry in your last schematic.
The first diagram you posted is for speed control through variable phase switching. You don't want to try that at this stage, given the questions you're asking.