I'd almost say if you were going to go down to 2 coins it might actually make more sense to have and $0.10 and $0.50 pieces. I.e. force all prices to a multiple of 0.1 instead of 0.01 but leave a larger coin to make larger totals or scrounging up more than a dollar when you don't have a bill go quicker.
Or even just go straight to quarters being the only change at all. A penny CPI adjusted from when they got rid of the half penny in the US (1857) is already worth $0.35 today.
It'll go quicker, but it won't save space! Unless we make smaller half dollars, just as the gold colored dollar coins took over after the large dollar coins we had previously. Perhaps something with a diameter similar to a nickel but a thickness similar to a penny or quarter.
This is a good idea. Rebasing on 10¢. I proposed dropping to a 25¢ smallest-coin standard elsewhere in the thread, but dropping the quarter and going 10¢/50¢/$1 is also a good plan.
Pennies and nickels definitely should go. They’re not even worth picking up off the ground.