I usually bring my rolling tote, which contains my basics - cutters, cutting mats, paper, kits I've made up, and embellishments I might need. I also bring a smaller tabletop tote that has my adhesives and small tools.
You can choose what else to bring depending on where the crop is and what tools they will have available. I crop at a church hall, not an LSS, so unless somebody brings their Cricut to share, we all provide our own tools. We do share with each other, but the crop host doesn't provide anything like a LSS would.