CCH accepts arguments to be passed to the CLEAR command. If one of the arguments is '-BREAKS', breakpoints will not be cleared.
By default (modifiable), CCH by itself with no arguments is the same as CCH ALL -BREAKS.
Over the years, I've used a micro-script version of this on the order of dozens or even hundreds of times in a typical day of using MATLAB. It's also the first line of many of my utility scripts and shortcuts.
There are two similar submissions on the file exchange, but both use "clc" instead of "home", which in my experience sometimes results in throwing away useful command window history information when you wish you hadn't. I'm therefore a proponent using "home" over "clc" — perhaps I can convert some users with this submission.