On my bike I carry a Topeak Master Blaster mini thing. It does the job. I have also got an old aluminium Bluemells pump, the one with the red, white and blue hand grip bands around the barrel and about 20" long. I have had it for well over 30 years and it is still completely dent free and pumps up tyres far easier than the modern little plastic things. I keep saying I am going to fit pump clips and use it on my bike but just haven't got round to it.