When I was learning to fly from the right seat, my CFI told me to focus on the things that are the same, not the differences. Especially on landing, she said just look down to the end of the runway on the flare, and not to focus close-up on the center line. For me, this made the sight picture for the rudder usage a lot more similar to the left seat. She also said that in her opinion people make too big a deal in their minds about switching seats and start focusing on all of the differences and psych themselves out. Her advice has served me well for switching seats, and switching from plane to plane for that matter.
Also, when you're sitting in the right seat (or switching back to the left after getting used to the right). Force yourself to keep one hand on the throttle and one hand on the yoke, so you don't reach for a throttle that doesn't exist if you need to add power in a critical situation.
As far as the instrument panel goes, like others have said, find things that will help point out stuff you have issues seeing. For myself, I sit in most planes with the seat as far forward as it will go, which means I can never read any of the numbers on the right side of the airspeed indicator (the slow airspeeds). This always made me nervous teaching students how to land, when I couldn't read the airspeed number, until I figured out that in virtually every plane I fly final approach speed is when the airspeed indicator needle is pointed 90 degrees to the right.
As for getting CFII first, in some FSDOs it's an easier rating to get than regular CFI. Also, there are some 141 programs out there that have gotten a CFII initial course approved that uses a non-complex airplane, thus bypassing the need to have single engine complex planes in their fleet. Whatever your reasoning is, I wish you the best of luck. I also advocate getting that CFI and possibly even the MEI done while you are still in 'student' mode. The idea of studying up and getting another rating knocked out seems so much more daunting now as a fulltime CFI.