When I transitioned to a Learjet 45 from a Beech Baron a couple years ago; I often felt like I was learning to fly a multi again. Not so much in the mechanics but in the increased speed of the aircraft. When I transitioned from a 182RG to the Baron I was behind the aircraft and I was behind the aircraft transitioning to the Lear 45. Things happen at a much quicker rate in a jet and there is always something to be doing in the training environment.

This is my advice, learn the descent rate for the 737 at Vref. In the LR-45 we descend on the ILS around 120kts so the descent rate will be around 650 FPM. Also learn the pitch attitude to hold a 3 degree glide at Vref. If you do this, then simply "revert" back to your instrument days and on the ILS hold a heading and descent rate and adjust according to the needle but always fly the heading and descent rate.

It goes without saying the aircraft systems are more complex than the PA-44 but I would immediately start memorizing any memory procedures. I would also imagine that Continental has excellent instructors who can teach you the systems inside out. So I wouldn't worry too much about the academic part but would start reading the manuals when you have time.

There are little gotchas that every airplane has that I have often felt like I needed to write down for the next time I go through a type rating. Some of these questions are the speed to fly in the pattern, how much rudder trim is needed for single engine operations