I use a frame pump. It clips under the top tube - my LHT has a little stud on the back on the backside of the head tube that fits into a littl hole in the end of the pump, so no velcro straps, etc. Makes it quick-draw if I have to use it on a dog.
On my mountain bike I use one of those "compact" pumps that fit to a bracket that mounts to the bottle bracket bosses on the seat tube.
On my old Ross 10-speed I have a Pyramid brand frame pump - in chrome (or at least polished aluminum) - that clips into a couple of little nylon brackets on the downtube.