This will depend on your electric vehicle and the type of journeys that you take. Your home charge point will probably be 'tethered', so will come with an attached charging cable.
For public charging you will need to carry a cable as many charge points, for example lamp post and on-street chargers, do not have cables attached to them.
The most common charging cable is known as a 'Type 2'.
It is also very advisable to carry an EV suitable 3-pin 13A cable for emergency charging on a domestic circuit. You car should be supplied with both of these as standard when you buy your electric car.