Welcome aboard FNG and congratulations on acquiring the Z
Here are a couple of previous posts that may be of some help:
http://www.zr1netregistry.com/forum/...t=fluid+change
http://www.zr1netregistry.com/forum/...t=fluid+change
Regarding the transmission there is no screen or filter to worry about just drain the old fluid and refill it with Castrol TWS 10-60W from your local BMW dealer parts department and ignition system is all solid states so no points to worry about either.
The rear end you will have to pump out the old fluid with a hand pump through the fill hole then refill. Many of us use Mobil 1 75-90 and add a plastic bottle of GM posi fluid.
You got to like a guy who knows where he stands. You're in the right crowd here pal and you won't be known as an FNG for long.