The true fixtures won't have appeared on their website, but I guess we'll all keep on guessing until the fixtures are out there.
On the first/last home game issue.... It's already been said that the champions have to start the season at home and that should mean they end it away. This has obviously had a significant bearing on City's start to each season since the early 1990s.
However, the League successes are only a part of the reason City have opened so many seasons away from home. The input of City (and Utd) themselves plays a significant part.
All clubs are asked if there are any special dates/games to schedule and the fixture list is created based on the input of those dates as well.
In the past City have had fixtures changed (after the list was published) to accomodate the UEFA Cup final 2008 (end of season away finish when home had been scheduled), but they hadn't thought to ask before the list was created.
In the last 15-20 years, fixtures have also been scheduled based on planned building work (most notably in 1993-4, 1994-5, 2002-03 & 2003-04), the staging of pop concerts (City have asked to end the season away from home and also asked to be away from home at the start of seasons because of this).
No doubt someone will talk at some point about scheduling Utd-City in early Feb - each year both City and Utd have the opportunity to state they wish to avoid this. I don't know what if any recommendations have been made this year (or last), but I do know that in 2007-08 City had not asked to avoid that date (but that was also the year they forgot to ask about playing away at the end of the season as well until the list was published).
There isn't really any kind of conspiracy. All clubs are equal when it comes to this but some clubs rarely ask to avoid certain dates up front.
When City start winning the League, they will start the next season at home (unless they ask to play away of course because of building work/concerts/events). It's as simple as that.