  In this paper, we introduce graceful and near graceful labellings of several
families of windmills. In particular, we use Skolem-type sequences to prove
(near) graceful labellings exist for windmills with $C_3$ and $C_4$ vanes, and
infinite families of $3,5$-windmills and $3,6$-windmills. Furthermore, we offer
a new solution showing that the graph obtained from the union of $t$ 5-cycles
with one vertex in common ($C_5^t$) is graceful if and only if $t \equiv
0,3\!\!\pmod{4}$ and is near graceful when $t\equiv 1,2 \pmod{4}$.
