I like flows specifically because I rent different planes, variants of pa-28. Some have constant speed props, some don't, most have carbs, one doesn't, etc. For takeoff, I set trim as part of preflight, and check before engine start. Then I get out my own sheet of all the v-speeds, and my approach speeds, specific to each plane. Then I run through all the checklists, which are different for each plane. The flows kick in after I've done the runup, to verify everything. All those swiches good, left to right? Yep. All those knobs good, left to right? Yep. Move down to flaps and trim - good? Yep. Little gauges ok, left to right? (engine, fuel) Yep. Six round gauges good? Yep. Then and only then do I pull out onto the runway. For first flight of the day, or short field, hold brakes, full power, check engine gauges and tach, then I'm rolling and just looking at airspeed and outside. The v-speeds are a little different, but other than that the takeoff for any pa-28 is the same for me until I get to end of usable runway. For landing prep, same thing, except I just run flows. Other than the gear for the Arrow, and full forward on the prop for the constant speed props on final, they're all the same. Flows are my double check before takeoff, and my standard procedure for landings, plus my own version of GUMPS.
I kind of learned the procedure like this: checklists have you check everything, and are required. flows are the double check that you don't screw something up important that could otherwise kill you. In a pa-28, short field, vfr, those things include but are not limited to flaps, trim, mixture, prop, carb heat, fuel pump, primer.