Difference between Overdrive, Fuzz and Distortion Effects

Many guitar player struggle to find the difference between these 3 effect pedal. I have been experimenting these 3 effects, most of them homemade. To make it clearer, I shall take an industry standard effect pedal of each group and give you a super brief rundown of the components going inside each effect pedal.
1) The Overdrive Effect Pedal: (Ibanez Tube Screamer TS9 and TS9DX, Boss SD-1 and OD-2)
To start off, an Overdrive effect pedal offers very little tone shaping controls. It's main duty is to boost your guitar's input signal, adding that extra punch and dirt to your overall sound. Your guitar signal will also enjoy increased saturation and more sustain. In my opinion, the Ibanez Tube Screamer offers a warmer and rounder tone compared to Boss pedals. I use both the Ibanez Tube Screamer TS9DX and the Boss SD-1 in my setup for variation in my guitar sound.
2) The Fuzz Effect Pedal: (Electro-Harmonix Big Muff, Dallas Arbiter Fuzz Face, Boss Hyper Fuzz)
Fuzz have been around since the 60's. Check out recordings by Jimi Hendrix, The Doors Led Zepplin, and the more recent Smashing Pumpkins. Spot those buzzy sound going on in the background. That's a Fuzz effect pedal on. Fuzz is often described as being the sound of playing through an amp with a ripped speaker. It is very buzzy sounding and has tons of sustain. David Gilmour (Pink Floyd) is a huge fan of the Fuzz effect in his soloing. I own a Electro Harmonix Big Muff effect pedal myself, just like David Gilmour.
3) The Distortion Effect Pedal: (Boss DS-1, Metal Zone, DOD Death Metal)
Most of the effect pedals out there in the market are more apt to be labeled as Overdrive or Fuzz pedal, but got labeled as Distortion in the process. This is where the confusion kicks in. For practical applications, think of distortion pedals as those simulating the distortion or hi-gain channel of your amp. This means they often simulate tube sounds or amp stack sounds and offer full tone shaping capabilities - hi, mid and low. Distortion pedals offer more gain than overdrive pedals and sound more amp-like than fuzz pedals. You can use a distortion pedal in low settings as an overdrive pedal, but distortion boxes also can be used as your sole source of distortion when plugged through the clean channel of your amp.