  We systematically study a family of loop quantizations for the classical
Kruskal spacetimes using the effective description motivated from loop quantum
gravity for four generic parameters, $c_o, m, \delta_b$, and $\delta_c$, where
the latter two denote the polymerization parameters that capture the underlying
quantum geometry. We focus on the family where polymerization parameters are
constant on dynamical trajectories and of which the Ashtekar-Olmedo-Singh (AOS)
and Corichi-Singh (CS) models appear as special cases. We study general
features of singularity resolution in all these models due to quantum gravity
effects and analytically extend the solutions across the white hole (WH) and
black hole (BH) horizons to the exterior. We find that the leading term in the
asymptotic expansion of the Kretschmann scalar is $r^{-4}$. However, for AOS
and CS models, black holes with masses greater than solar mass, the dominant
term behaves as $r^{-6}$ for the size of the observable Universe and our
analysis can be used to phenomenologically constrain the choice of parameters
for other models. In addition, one can uniquely fix the parameter $c_o$ by
requiring that the Hawking temperature at the BH horizon to the leading order
be consistent with its classical value for a macroscopic BH. Assuming that the
BH and WH masses are of the same order, we are able to identify a family of
choices of $\delta_b$ and $\delta_c$ which share all the desired properties of
the AOS model.
