Aball's explanation of coupling capacitors is good. Coupling is actually a misnomer since they are actually in the circuit to block DC as he points out.
Output caps are also used to block DC but the part about output caps lowering impedance is wrong. Every cap has some impedance so it will actually increase the ouput impedance. However, as he points out, the trick is to make it large enough so the impedance is low enough compared to the load impedance that it doesn't have much of an effect.
I'm also not so sure about the DC stabilizing effects of bypass caps since they are open to DC and are not part of the DC bias. The emmitter resistor is part of the DC circuit whether you have a bypass cap or not.
Output caps are also used to block DC but the part about output caps lowering impedance is wrong. Every cap has some impedance so it will actually increase the ouput impedance. However, as he points out, the trick is to make it large enough so the impedance is low enough compared to the load impedance that it doesn't have much of an effect.
I'm also not so sure about the DC stabilizing effects of bypass caps since they are open to DC and are not part of the DC bias. The emmitter resistor is part of the DC circuit whether you have a bypass cap or not.