  In this paper we study certain types of metrics such as Ricci soliton,
$*$-conformal Ricci soliton in 3-dimensional trans-Sasakian manifold. First we
have shown that a 3-dimensional trans-Sasakian manifold of type
$(\alpha,\beta)$ admits a Ricci soliton where the covariant derivative of
potential vector field in the direction of unit vector field $\xi$ is
orthogonal to $\xi$. It is also shown that if the structure functions satisfy
$\alpha^2=\beta^2$ then the covariant derivative of the potential vector field
in the direction of $\xi$ is a constant multiple of $\xi$. Further, we have
evolved the nature of scalar curvature when the manifold satisfies
$*$-conformal Ricci soliton of type $(\alpha,\beta)$, provided $\alpha \neq 0$.
Finally, we present an example to verify our findings.
