What's the max pressure of your tyres? It's written on the sidewalls.
High pressure tyres, over about 60 psi tax the arm muscles; larger foot actuated pumps help. Medium pressure tyres (about 40 psi) can be inflated with almost anything. The physics are that fatter pumps with a longer stroke pump more air, taking less strokes to get the beasties up to pressure and reducing arm-ache. Small-tube pumps with sharp handles hurt the hand, as more strokes are needed and the sharp bit digs into the paw.
I have a
ten year old Topeak still running. It's a small MTB pump with an illegible guage.
My road bike, and the Mezzo run 110 psi, I use a cheap electric car pump to get the blighters up to pressure, then take the Topeak to deal with flats. I use the car pump more than the others.
Re pressures; I'm of the single opinion that pumping the tyres up to the max sidewall pressure reduces punctures. I have no scientific evidence to back this up.
I also have a CO2 pump on the MTB, when you run out of CO2 cartridges you run out of bicyling, but that and a spare tube save the faff of silly sticky patches, misplaced beliefs in the properties of modern adhesives, and spit.
I haven't had a puncture for a couple of years now. It cannot last.