Help me improve my network. Trying to enable routing on my catalyst switch with SVI's.

Hey guys, so I just started a new job and am responsible for cleaning up/improving the current configuration.

The VLANs are all trunked to other layer 2 switches, which have management IPs. If I want to check them, I need to physically plug into a switch on the network and telnet into the management IPs.

You can see how this is a pain in the ass for monitoring purposes.

What should I do at this point? I was thinking of enabling routing on my core l3 catalyst and redoing the VLANs.

VLAN 10 = 10.1.10.0 /24

VLAN 20 = 10.1.20.0 /24