You are going to find the adjustable speed prop quite easy to use. Just think:
1. Just a bit more to pre-flight (look for leaks, make sure they aren't twisting by hand)
2. Just a bit more during the run-up (cycle 1..2 times to ensure oil flow and operation)
3. During taxi and takeoff its gonna be full forward (maximum rpm), easy to catch because you have time to checklist.
4. Flight
5. During landing its gonna be full forward (maximum rpm) see 'B'
...so its really #4 -during flight that you will be "adjusting" or tweaking it. And for that you have (2) things. The POH which lists various MP vs RPM settings for cruise. However, for our 182 the POH also indicates to adjust it for the smoothest operation. Guess what - that is what works best. You get up to cruise. Make slow smooth changes (Vernier'd) until its nice and smooth. That will be paired with a small range of valid MP's for your cruise altitude.
I would say there are two things to watch out for:
A.) As you let down you will learn to back off the throttle (MP) and then start bringing the prop back in (higher RPM). If you do the reverse (prop in then throttle) it will overs-peed for a bit...you should be avoiding that that.
B.) Make sure it is full forward at sometime in the pattern so when you are on final you will have full prop rpm available for a go around. I bet everyone flying constant speed props has left it in on final at least once (I have). Its easy to miss as the amount you have pulled it out during cruise may not be much. And you are usually slowly bringing it back in during the pattern sometime around the base turn. So at that point you are not looking at checklists...you are watching for traffic and flying.
I think the CS prop is also taught differently. My CFI taught to to gradually letdown more and more power during the pattern entry, downwind and base. So I might be at 15"-20" MP and 2200rpm during the downwind. As I turn base I bring the MP down to 15" or a bit lower and then bring the prop the rest of the way in. My wife on the other hand will reach downwind, reduce MP fairly low and as the RPM starts to come down and no longer governed she will bring the prop in and fly the entire pattern at 1700 rpm (throttle only, not governed) until close on final. Both work. Neither overspeed. She moves through the pattern a nice fixed speed and is very stable. Mine leaves me a little more speed during the downwind and out at the turn to base. Mine has a few more steps where hers is more simple. I learned it in the 182. She learned it in a T-34 (envy that one!)
Re: Simulator
If you already find value in the simulator it should be good for some of it. But you will not "feel" and "hear" the shudder, smoothness or over-speeding. And the knob is verniered and rather stiff vs a simulator knob or pressing a keyboard key. I would think the simulator would be great for simulating a go around with the prop out a bit and learning the letdown and pattern entry. Definitely will show the effects of cruise speed vs prop.