Is this a sane layout this is what was given to me? Conceptually, I don't understand "management vlan". If i were to put my switch in the Firewall vlan would I just make that the default VLAN? What ...

Have you been told that VLANs are the ultimate solution to your network woes? That they’ll magically secure your infrastructure, eliminate complexity, and solve all your traffic management headaches?

As your home network needs grow, you might consider network segmentation to make it more manageable and keep things safer. If you are, you're on the right track toward having a more resililiant ...