  We combine moduli stabilisation and (chiral) model building in a fully
consistent global set-up in Type IIB/F-theory. We consider compactifications on
Calabi-Yau orientifolds which admit an explicit description in terms of toric
geometry. We build globally consistent compactifications with tadpole and
Freed-Witten anomaly cancellation by choosing appropriate brane set-ups and
world-volume fluxes which also give rise to SU(5)- or MSSM-like chiral models.
We fix all the Kaehler moduli within the Kaehler cone and the regime of
validity of the 4D effective field theory. This is achieved in a way compatible
with the local presence of chirality. The hidden sector generating the
non-perturbative effects is placed on a del Pezzo divisor that does not have
any chiral intersections with any other brane. In general, the vanishing D-term
condition implies the shrinking of the rigid divisor supporting the visible
sector. However, we avoid this problem by generating r<n D-term conditions on a
set of n intersecting divisors. The remaining (n-r) flat directions are fixed
by perturbative corrections to the Kaehler potential. We illustrate our general
claims in an explicit example. We consider a K3-fibred Calabi-Yau with four
Kaehler moduli, that is an hypersurface in a toric ambient space and admits a
simple F-theory up-lift. We present explicit choices of brane set-ups and
fluxes which lead to three different phenomenological scenarios: the first with
GUT-scale strings and TeV-scale SUSY by fine-tuning the background fluxes; the
second with an exponentially large value of the volume and TeV-scale SUSY
without fine-tuning the background fluxes; and the third with a very
anisotropic configuration that leads to TeV-scale strings and two micron-sized
extra dimensions. The K3 fibration structure of the Calabi-Yau three-fold is
also particularly suitable for cosmological purposes.
