Jackhammering was too much for me (I'm too short for leverage, and don't have the weight to overcome my height), but luckily our taller friends ruled it while Jaimee wielded the sledge to break up the pieces:
Once the pieces were broken up, everyone pitched in to load them into bags and carry them out front.
I managed to avoid this heavy labor by spending my time building a "litter box" for Loki, as well as a compost box for the results of the dog-litter-box. The team then filled the trench with topsoil (we need to get more), and covered it with weed fabric so we don't accidentally create a feral cat litterbox, and we re-routed the drip hoses for full yard coverage. At the end of only a couple hours, we were done!
I know, it kind of looks exactly the same, since the weed cover is running where the concrete was. But the ground cover seeds are growing well, and I've ordered some supplementary plants, so hopefully planting will take place soon and change the look! We also discovered a lot of slate (and a mini-boulder) buried under the concrete - we saved it, and will figure out something to use it for. Suggestions welcomed!