The world famous Beta Stick is a device mainly used to preclip quick draws on sport climbs. Forget those home made clip sticks, get a product that does the job properly.
It is an extendable pole with an ingeniously designed head that will allow you to clip a carabiner into the first or second bolt. This can also be achieved with the rope in place on the draw. Alternatively you can clip a toothbrush (included) into a slot in the head such that you can easily brush down those grimy out-of-reach holds.