Hey there,
If you're interested, this is how i've learnt over in NZ.
Pre-Take OFF Check
Acronym - The Man Came From IHC
Trim (set)
Throttle (friction nut firm)
Mixture (rich)
Carb Heat (cold/NA)
Flaps (set)
Fuel (Selector on both, contents sufficient, pump/primer)
Ignition (on both)
Instruments (check, radios set, transponder)
Hatches and Harnesses (secure)
Controlls (full and free and moving the right way
)
Works well for cessnas.
Not really an acronym for the run ups but this works...
Check T's and P's in green range
Run engine up
Check P's in green range
Mags (left and right cheking for appropriate drop and differential)
T's, P's, vacuum in green range and Ammeter registering a charge
Check Annunciator panel (if applicable)
back to idle, check RPM and P's in green range
Otherwise there's the flight manual. Goodluck