Key to believe in the magic of Harry Potter.

How BROOMSTICK used in Harry Potter series?

Broomsticks are used for transportation by wizards and witches of all ages, and for the game of Quidditch. Their use is similar to that of flying carpets, although the latter are banned in Great Britain. However, they are uncomfortable for extensive trips, even with the cushion charm. Broomsticks are treated as a major consumer product in the Wizarding world. There are numerous brands and models of brooms, all of which vary in their capabilities. These range from expensive high-performance models to toy broomsticks for young children that only fly a few feet off the ground to even family-sized broomsticks that have room for an entire family to sit down on and have a luggage compartment below the seating area.
Since Harry plays Quidditch, his brooms - a Nimbus 2000, and later a Firebolt - are prominent in the series. The Nimbus 2000 was given to him by special consent of Dumbledore via Minerva McGonagall, who had chosen him as Seeker.The Firebolt was given to him by Sirius as a Christmas gift after his Nimbus was destroyed during a Quidditch match.The Firebolt remains the fastest broom in the world, having surpassed the previous record holder, the Nimbus 2001, and its price is so grand that it is only available upon request.

Tool used by witches and wizards to channel magical powers.

A wand is a tool used by witches and wizards to channel magical powers. Most spells are done with the aid of wands. It is possible to do magic without a wand, but is very difficult and requires much concentration and skill. Only advanced wizards can perform spells without the use of wands. Wands are "quasi-sentient", and as close to animate as an object can get because they are imbued with a great deal of magic.
Although the wand cores may come from the same creature, or the wood may come from the same tree,

no two wands are exactly alike.