  We investigate different approaches to transform a given binomial into a
monomial via blowing up appropriate centers. In particular, we develop explicit
implementations in {\sc Singular}, which allow to make a comparison on the
basis of numerous examples. We focus on a local variant, where centers are not
required to be chosen globally. Moreover, we do not necessarily demand that
centers are contained in the singular locus. Despite these restrictions, the
techniques are connected to the computation of $ p $-adic integral whose data
is given by finitely many binomials.
