Went thru this last year, no kids thankfully.
Lots of people have mentioned it already but stop drinking, I didn't adhere to this and said/did some pretty stupid things, thankfully none have come back to haunt me (yet). Get yourself around some good bros and as much as you may want to shit talk her with them, I don't recommend it, too many people are intertwined between you and her and you can burn more bridges than build that way. Military One Source was a great resource, they hooked me up with a counselor and 10 free visits, and I'll be honest, talking to the counselor and getting my emotions out there and not elsewhere was probably the best move I made. I've had mixed results with the Family Advocate or whatever they're called on base, but all the people I've talked to off base have been amazing.
As far as money and assets, I went to the ex and had her write down a list of everything she wanted as far as furniture, plates, linens, personal stuff, pictures, etc and what she thought was fair. This turned out to be very helpful as what she wanted was actually less than I was willing to give her so I made out decently. Now we did do some minor negotiating over alimony, but again, in the end I walked away paying less than I was prepared to because I let her make the first move (never show your cards if you can help it).
Being civil is going to be the hardest part of all of this. You'll want to scream and lose control, but don't do it. Bite your tongue so hard it bleeds if you have to, but do not give her ammo to take more than she already is. It'll hurt now, but in a year you'll be proud of how you acted.
As far as kids go, I grew up in a divorced family. Saw my parents fight, got used as a pawn once or twice. In the end that's not what I remember. I remember the good times with my dad (he passed a few years ago) and how he was always there for me at concerts, sporting events, graduations, you name it. Every chance you can make your kids feel loved, don't spoil them, be the parent they need in their lives and they'll turn out okay.
You need anything, we're all here to help.