I just feel the need to add some minor bits here...
First off...the first two posters to your question are very respected for intimately knowing the game, and Jim has given plenty of great input himself (My apologies if you have many more responses...I have seen a few through scouting and all are very useful/to the point...but let's give it up for Maiden...and Mumble is a Greek among Romans...a compliment in my world...the father of some beautiful ideas).
Second...to repeat statements...it is very much a matter of choice.
-A 'Get the feeling game'
Small to medium map (Large if especially a fan of immense games)- 2-3/3-5/(5-9) opponents. Mega Events OFF(very personal...but on my first few games the comp generated events that easily turned me from losing to winning, thus killing my hopes of a 'thinking' man's game...of course now long dispelled). 4-5 Minor civs. The real decision is in amount of habitable planets/number of stars. For a good feel, I say common on both and above. This way you deal with a mini-colony rush/exploration period.
From the sounds of it, you understand 4X games in general, so I recomment at least tough difficulty or better. There may be one or two rough spots of questioning which route to go (personally, I kept feeling that I needed military quicker and quicker...more because of my tendancy to fight early wars in Civ than GalCivII tactics)...but you can overcome many mistakes at tough and still remain competitive with the comp...with a good idea of 4X games...and these mistakes will actually help hammer out your more intensive strategies while still keeping the game in your reach.
This type of game will take you quite a few attempts in order to fully understand/appreciate the game, but it really encapsulates the best of the AI and the scope of the game...all without AI cheating.
Final bits- Mumble's categorization is a great way to see what path you want to take this game. I am a huge fan of long 4X games with a lot of build-up and history, but have recently become enamored with the prosepect of quick ZYW games while hammering out plans for bigger games.
All personal, but hope it helps
-Scanian