That's a tough one because my life was/is precisely like yours - both when I was with my ex partner, and now I'm without. It's hard, but not impossible. I've been thinking this exact same thing today - HOW am I going to kill the time (which at this early stage of recovery is what it feels like, even though the vast majority of people manage just fine!).
So although I don't really have an answer to your question, I do empathise wholeheartedly. Do you enjoy cooking? Maybe you could cook a nice meal together - or pack up a picnic, go do something with the kids? I know it's not the same, but that's the point I guess, it can't BE the same anymore... and that's not a bad thing, just a different one. Good luck