  We study on transport and magnetic properties of hydrated and
lithium-intercalated $\alpha$-RuCl$_3$, Li$_x$RuCl$_3 \cdot y$H$_2$O, for
investigating the effect on mobile-carrier doping into candidate materials for
a realization of a Kitaev model. From thermogravitometoric and one-dimensional
electron map analyses, we find two crystal structures of this system, that is,
mono-layer hydrated Li$_x$RuCl$_3 \cdot y$H$_2$O~$(x\approx0.56, y\approx1.3)$
and bi-layer hydrated Li$_x$RuCl$_3 \cdot y$H$_2$O~$(x\approx0.56,
y\approx3.9)$. The temperature dependence of the electrical resistivity shows a
temperature hysteresis at 200-270 K, which is considered to relate with a
formation of a charge order. The antiferromagnetic order at 7-13 K in pristine
$\alpha$-RuCl$_3$~ is successfully suppressed down to 2 K in bi-layer hydrated
Li$_x$RuCl$_3 \cdot y$H$_2$O, which is sensitive to not only an electronic
state of Ru but also an interlayer distance between Ru-Cl planes.
