Cyber Dragon gives you access to some powerful Fusion monsters, all of them are powerful OTK enablers. Cyber Twin Dragon is able to attack twice per turn. Cyber End Dragon inflicts piercing damage and has a very high attack stat. Chimeratech Overdragon gains more attack power the more monsters you use as fusion materials and can also attack your opponent's monsters depending on the number of fusion materials you used.
Here are some support you can use with your Cyber Dragon. Evolution Burst destroys any card on your opponent's field for no cost but your Cyber Dragons cannot attack during that turn. Cyber Repair Unit recovers a Cyber Dragon from your graveyard and/or searches a Cyber Dragon from your deck. Cyber Network lets you Swarm your field with Cyber Dragons.
Photon Generator Unit and Attack Reflector Unit Special Summons upgraded forms of Cyber Dragon.
You do have to have another card in hand to discard, though, and that 100 more ATK CyDra has makes CyDra more appealing than The Tricky. 2000 DEF is going to be quite common, and The Tricky cannot blast through that.