There are several variables here. 3 pin and 7Kwh are both AC and the car has to convert this to DC to charge the battery, hence it is slower. Also, 7Kwh is pretty much the maximum of a domestic single phase (240v) supply.
Then you have 22Kwh (fast), 50Kwh (rapid), and 150Kwh (ultra fast) which are all DC and charge the battery without the car needing to convert anything. These will likely all require a 3 phase (400v) supply to be installed.
To add extra complications, not all cars are able to use all types of charging. I very nearly bought an electric van that could only cope with 7Kwh and would not charge at a sufficient speed for me to use it given its range limitation.
Also, ultra fast charging will degrade the battery more quickly, so that should be reserved for long distance and not general use.
Due to the national grid not having sufficient capacity to power the demand, many chargers allow your supplier to decide when the car is charged. This can be turned off, but you run the risk of plugging the car in at say 8pm, assuming it is charging, needing to use it at 9pm and finding out that the supplier decided unilaterally not to start charging until midnight.
Lastly, the best balance for speed of charge and longevity of the car batteries is a 22Kwh charger, assuming your car will accept it (this will involve a 3 phase install). Most do to my understanding, I just happened on a van that didn't (Renault Kangoo if anyone is interested).