  We construct many new examples of complete Calabi-Yau metrics of maximal
volume growth on certain smoothings of Cartesian products of Calabi-Yau cones
with smooth cross-sections. A detailed description of the geometry at infinity
of these metrics is given in terms of a compactification by a manifold with
corners obtained through the notion of weighted blow-up for manifolds with
corners. A key analytical step in the construction of these Calabi-Yau metrics
is to derive good mapping properties of the Laplacian on some suitable weighted
H\"older spaces. Our methods also produce singular Calabi-Yau metrics with an
isolated conical singularity modelled on a Calabi-Yau cone distinct from the
tangent cone at infinity, in particular yielding a transition behavior between
different Calabi-Yau cones as conjectured by Yang Li. This is used to exhibit
many examples where the tangent cone at infinity does not uniquely specify a
complete Calabi-Yau metric with exact K\"ahler form.
