Originally Posted by
stapfam
Small wedge under the saddle that carries the puncture repair stuff. What you carry is up to you but the tube I wrap in a cloth before putting in a plastic bag. Saves some abrasion from the plastic after it has been sitting there for a years riding. Pump and get a good one. Others will have a favourite but Topeak Morph Series has a good following here. I have two. The Morph G that has a gauge on it but it is not the easiest to mount on a bike. It is long and takes a fair amount of space. The other is a "MiniMorph" and may seem a bit on the small side. The mount for it does take the space of a water bottle but i can manage that. But that "MINI" pump works. Air going into the tyre at each stroke seems small but it does not take long to get 125PSI into the tyre ...
I agree with "stapfam" that a seatbag is a good place for puncture repair items. Wrap a spare tube in a protective jacket of cloth and make sure that nothing will 'poke' and 'prod' it while going down the road. A fanny pack, complete with cell phone pouch, is a good place to keep basic tools, money, etc. When you get off your bike, everything goes along with you. Very convenient.