  We characterize disjoint and simultaneously hypercyclic tuples of unilateral
pseudo-shift operators on $\ell^p(\mathbb{N})$. As a consequence, complementing
the results of Bernal and Jung, we give a characterization for simultaneously
hypercyclic tuples of unilateral weighted shifts. We also give
characterizations for unilateral pseudo-shifts that satisfy the Disjoint and
Simultaneous Hypercyclicity Criterions. Contrary to the disjoint hypercyclicity
case, tuples of weighted shifts turn out to be simultaneously hypercyclic if
and only if they satisfy the Simultaneous Hypercyclicity Criterion.
