Wash and dry all produce.
Cut the head of cabbage in half, then in half again. Slice each segment into thin strips, roughly chopping the strips after slicing for smaller pieces.
Chop the cilantro, both leaves and stems. I prefer to keep at least the top half of the stems for added flavor!
Slice jalapeños lengthwise and remove the seeds and white membrane. Chop finely by cutting into thin strips, then chopping to get a fine dice.
Squeeze the juice from the limes, adding more if you prefer an even tangier slaw. Peel and dice avocados, squeezing a bit of lime juice over them to keep from browning.
Toss cabbage, cilantro, jalapeño, and avocado into a large bowl, adding the lime juice, olive oil, and salt and pepper. Mix well then serve immediately or within 30 minutes of mixing. The slaw will keep for a day or so, but it will not remain nearly as crunchy.