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In this paper we study certain types of metrics such as Ricci soliton,$*$-conformal Ricci soliton in 3-dimensional trans-Sasakian manifold. First wehave shown that a 3-dimensional trans-Sasakian manifold of type$(\alpha,\beta)$ admits a Ricci soliton where the covariant derivative ofpotential vector field in the direction of unit vector field $\xi$ isorthogonal to $\xi$. It is also shown that if the structure functions satisfy$\alpha^2=\beta^2$ then the covariant derivative of the potential vector fieldin the direction of $\xi$ is a constant multiple of $\xi$. Further, we haveevolved 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.

Ricci solitons and certain related metrics on 3-dimensional trans-Sasakian manifold