Outlook syncing

I have a few questions regarding outlook and outlook.com.  I have outlook 2013 which I would love to use as my primary calendar, but I have an android phone and the two of them do not seem to play well with each other.  Is there a way to sync the calendar on my phone and outlook 2013, it seems like there should be.

Second,  Is there an easy way to sync outlook 2013 and outlook.com/ the calendar metro app?  I would assume that there is, but if so it doesn't seem very intuitive.  As I see it if I update an appointment in Outlook 2013, Outlook.com, the calendar app, or my phone that appointment should sync everywhere.  I hate to say it, but Google has that pretty well down pat.

Finally, is there a way to retain the category/ color selection if/ when appointments move from 2013 to outlook.com?  My calendar is most effective when I can see the category/ color.  To make calendar distinctions is of little use to me, I'm more concerned with the category of the appointment.

I hope there is some help here other wise I'll have to move to a different calendar solution.

Hopefully,

-Josh