  We realise Heckenberger and Kolb's canonical calculus on quantum projective
(n-1)-space as the restriction of a distinguished quotient of the standard
bicovariant calculus for Cq[SUn]. We introduce a calculus on the quantum
(2n-1)-sphere in the same way. With respect to these choices of calculi, we
present quantum projective (N-1)-space as the base space of two different
quantum principal bundles, one with total space Cq[SUn], and the other with
total space Cq[S^(2n-1)]. We go on to give Cq[CP^n] the structure of a quantum
framed manifold. More specifically, we describe the module of one-forms of
Heckenberger and Kolb's calculus as an associated vector bundle to the
principal bundle with total space Cq[SUn]. Finally, we construct strong
connections for both bundles.
