The differences are the resistance ratings of the voice coils of each.
That's the only difference. You don't really need to go read about it anywhere unless you'd like to save
this link into your favorites (it's a handy reference guide).
You can work it one of two ways.
If you decide on your subs before you decide on an amp to drive them with you can use that wiring wizard to see what final load combinations are available to you depending on the voice coil configuration of the sub(s) you bought and then buy an amplifier that makes appropriate power at the load you plan to present to it.
Example - if you've got a
pair of dual 4 ohm voice coil subs which have an RMS input rating of 500w then you would need an amp that makes somewhere around 1000w (their combined RMS input wattage) at either 1 Ohm or 4 Ohms.
On the other hand if you buy the amp before you buy a sub (or subs) then look to see what power it outputs at what ohm load.
Then use that wizard to see what voice coil configuration sub or subs you need to buy to achieve the power output your specific amp is capable of.
Example ~ if your amp outputs 500w @ 4 Ohms, 750w @ 2 Ohms, or 1000w @ 1 Ohm then you'd want to find a sub or subs that need 500w RMS with an available final load of 4 Ohms
or a sub or subs that need 750w and have an available final load of 2 Ohms
or a sub or subs that need 1000w and have an available final load of 1 Ohm.