  We explore the relative advantages in continuous-variable quantum
teleportation when non-Gaussian operations, namely, photon subtraction,
addition, and catalysis, are performed before and after interaction with a
noisy channel. We generate the resource state for teleporting unknown coherent
and squeezed vacuum states using two distinct strategies: (i) Implementation of
non-Gaussian operations on TMSV state before interaction with a noisy channel,
(ii) Implementation of non-Gaussian operations after interaction of TMSV state
with a noisy channel. The results show that either of the two strategies could
be more beneficial than the other depending on the type of the non-Gaussian
operation, the initial squeezing of the TMSV state, and the parameters
characterizing the noisy channel. This strategy can be utilized to effectively
improve the efficiency of various non-Gaussian continuous variable quantum
information processing tasks in a dissipative environment.
