I generally do pre-landing checks on the way into the airfield, then if I've joined downwind, I'll do them again.
There are two sets of checks that are appropriate but they are not the same;
Pre-joining:
Fuel on best tank,
Radios set for the join and circuit,
Engine mixture as required, Ts and Ps,
Direction - HI set, circuit joining revised ,
Altimeter set (QNH/QFE), Airfield/threshold elevation.
Pre-landing: downwind/Extended base or long final as appropriate. BUMPFH being a generic heads up only as required - not a detailed mnemonic that probably can't be remembered, you must know what to do which is relevant to your aeroplane