Well, it's hard to say, because every child is different, and combining 3 different personalities is bound to cause friction no matter what you do. I tend to be kind of a hardass with my kids, I guess. If they start to melt down or fight, I send them to their rooms until they can get hold of themselves. I don't do it to be mean, I just have zero ability to cope with whiny, loud, grating noises. I figure if they want to wail and rage, they can do it out of my earshot, and that's a-okay with me. Lately, my girls (6 and 9) have been a little better behaved, I think because I was recently laid off from my corporate job and went out on my own and formed my own business. Because I can set my own hours, I now have the luxury of not having to rush the kids around. We can take our time now (leave 10 minutes early to go to ballet, or take our time grocery shopping after school when the market isn't so crowded). That really helps all of us have a better outlook, which has amazed me.
I guess other than that, I have always had the viewpoint that I'm the CEO around here, and my kids are (at best) middle management. They have responsibilities and things they have to do, and they report to me (not the other way around). Our house is like a mini-corporation. :) They get bonuses for a job exceptionally well done, and if they behave badly, they're demoted! (Back to the mailroom with you, kiddo! LOL) But seriously, I just find that they seem more secure when we, the parents, are strong leaders. They have the ability to be creative and be kids, but at no time do they think they are running the show. My kids are always saying, "Mommy, you are sooooo meeeeean!" but we do often get comments from total strangers about how happy and joyful our kids are. Maybe they were born that way, or maybe they respond well to this form of parenting, or a little of both, or maybe they're happy in spite of me. Ha!
I am curious to see the other answers. I love this question! This is what makes this website so great. So many chances to see what's working for other parents and work that into our routine!