Hi Andy,
Everyone has a different way of doing this. Here's the way I was taught.
I was taught BUMFICHH for my PPL:
Brakes (parking brake off, pedals feel "normal")
Undercarriage (down)
Mixture (rich)
Fuel (pump on, correct tank, sufficient remaining0
Instruments (green)
Carb heat (on)
Harnesses (secure)
Hatches (secure)
There's an argument which says that learning this for the PPL encourages you to "recite" checks like "Undercarriage" without doing them, causing you to carry on reciting them without actioning them when you move to an aircraft with retractible gear. I never found that, though. I was also taught, with a constant-speed prop, to set the RPM to 2500 on downwind while slowing down to lower the flaps.
Base-leg checks I only use in complex aircraft. I use the American GUMP check:
Gas (pump on, correct tank)
Undercarriage (down)
Mixture (rich)
Prop (full fine)
(If anyone knows of an equivalent mnemonic which doesn't use that horrible American word "gas" for something which isn't a gas, please let me know - FUMP doesn't have the same ring to it!)
Then, on final, one further check for "3 greens".
The chances of forgetting to check the gear 3 times are pretty slim, and I haven't managed to do a gear-up landing yet. But there are two types of pilots - those who have landed gear up, and those who will. At the end of the day, just use whatever checks work best for you. But I'd always check the gear at least twice. I'm sure you won't have any problems.
FFF
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PS - Rusty, how did it go?