Okay I am still melding the two worlds into one <whew> and I have one of your "initial" missions already outlined its called "Treading on Egg Shells"
Lancea Sanctum Dominate the area but are split into two factions sort of -- current Prince controls Downtown and the areas north of that -- second faction controls The Strip and most of the areas surrounding it.
Carthians are neutral and currently control No Man's Land and maybe the University
Circle of the Crone they control Old Town and The Projects and are at odds with the Lancea Sanctum mostly
Invictus I think they are there but play a much smaller role have not entirely decided where to put them maybe the Docks
Does that help answer your question