Combine chopped cucumbers, bell peppers, and onions in a large, non-reactive kettle that has a cover. Sprinkle turmeric on top. Combine 2 quarts of water and canning salt, stirring until the salt has dissolved. Pour the water over the vegetables. Cover and let rest in the refrigerator for 3-4 hours.
Using the cover of the kettle, carefully drain off the water. Pour remaining 2 quarts of cold water over the chopped vegetables. Cover and let rest in the refrigerator for one hour.
While vegetables are resting, place cinnamon, mustard seed, all spice, and cloves in a spice bag. Place vinegar, brown sugar, and spice bag in a medium saucepan and bring to a boil over medium heat, stirring to help dissolve the brown sugar.
Once 1 hour has elapsed, drain water off of vegetables. Pour hot pickling liquid over chopped vegetables and allow to cool. Cover and replace in the refrigerator one more time for 12-18 hours.
After the vegetables have rested, begin to prepare jars, lids, and rings by washing and keeping warm.
Remove the spice bag. Bring the chopped vegetable and vinegar mixture to a boil over medium-high heat, be sure to stir so as not to burn to the bottom. Ladle into hot pint jars, leaving ½ inch headspace. Remove air bubbles, wipe the rim with a clean, damp cloth, and add lid and ring, tightening to finger tip tight.
Lower jars into the simmering water bath canner. Cover, increase heat, and bring to a boil. Once a boil is reached, process for 10 minutes, adjusting for altitude (since I am over 1000 feet, I add 5 minutes, but check online for your own location). Remove the canner from heat, and allow jars to rest 5 min. Remove from the canner and allow to cool at least 12 hours before storing jars.