Place a sheet of nori, shiny side down with the longest side closest to you, on a piece of parchment paper that's about 2-3 inches longer than the nori on the top and bottom (or you can use a bamboo sushi mat). Spoon a heaping cup of sushi rice on top of the nori. Dip your fingers in water (this will help to prevent the rice from sticking), then pat the rice into an even layer, going all the way to the sides but leaving a 1-inch border across the top and bottom, adding more rice as needed.
Arrange a layer of julienned cucumbers horizontally across the bottom of the rice (closest to you). Top with a few spoonfuls of spicy salmon salad, followed by a few slices of avocado.
Now it’s time to roll! Hold the parchment (or sushi mat) and use it to roll the nori over the filling. The first roll should go all the way around the filling. Use the parchment to tighten the first roll, squeezing the filling into a nice compact log. Then continue rolling, using the parchment as leverage. Once you get to the end, wet the edge of the nori and seal it.
Repeat the process for the remaining wraps (I usually get about 4-5 big wraps). Serve the wraps on their own, or with tamari for dipping. (You can also cut them into sushi rolls, if you wish—just be sure to use a sharp knife).