Wash a half-gallon glass jar and lid in hot soapy water and rinse well.
In a saucepan on the stove, warm the water and stir in the pickling salt until fully dissolved. Let it cool to room temperature, then stir in the vinegar.
Pack the cauliflower, carrots, celery, cucumbers, and red pepper tightly into the jar, adding the garlic, bay leaves, and peppercorns as you go.
Pour the cooled brine over the vegetables until they’re covered, then give everything a gentle mix.
Close the lid loosely, or close it tightly and open it once a day to release pressure. Keep the jar at room temperature, out of direct sunlight.
Every couple of days, check the jar and push any floating vegetables back under the brine.
After about 5 days, when it’s as tangy as you like, move the jar to the fridge.