I have been extremely blessed to have a good relationship with my ex (and now his girlfriend, as well). Our schedule might not work for everyone, but it's the very best for all of us - both me and my ex and our daughter.
My daughter stays at her father's house every Monday night (he brings her to school on Tuesday) and every Friday evening and gets to spend Saturday with her dad. I pick her up Saturday evening, so we get to spend Sunday together. This gives each of us a weekend night to go out, a weekend day to get things done without a child, and a weekend day to be with our child.
Wednesday nights are "Family Night," where all of us get together and have dinner, play games, go for a walk, whatever. The point is that we work hard to make sure that even though we are apart, we are still our daughter's family. It can be hard, when he and I are struggling more in our relationship - but it is also extremely rewarding. He and I are forced to talk and interact about more than just the logistics of our daughter's life even when we don't want to. We're working on including my ex's girlfriend and her son in occasional family nights, as well.
We also meet at other times, for other events, sometimes the three of us, sometimes the five of us (the girlfriend and her son) for various events, parties, shows, etc. Sometimes I'll have dinner with them on Friday nights, as well.
Again, this probably wouldn't work for many people - it takes a big commitment and a lot of communication and work. But, we've been separated from the time that my daughter was only 2 months old so we've needed to be flexible and constant for her, so it's sort of evolved.
But, I LOVE my every 1/2 weekend schedule. I would hate not to see my daughter for an entire weekend - I would miss her desperately. She seems to really thrive with this schedule, as well. She gets to see the people who are important to her regularly, and knows that we talk constantly (at minimum 3-4 times a week in person - just because we see each other so much). Her dad also calls every day, and vice versa when she's at his house.
I'm sorry that you're having to go through a divorce, but I'm hoping and praying for you to have a smooth transition for both you and your children.
Hang in there!