  In this article, we provide an introduction to an algorithm for constructing
Weinstein handlebodies for complements of certain smoothed toric divisors using
explicit coordinates and a simple example. This article also serves to welcome
newcomers to Weinstein handlebody diagrams and Weinstein Kirby calculus.
Finally, we include one complicated example at the end of the article to
showcase the algorithm and the types of Weinstein Kirby diagrams it produces.
