In addition to changing the DHCP Scope there is a line for IP Address where you would change the address that the Router uses. Also, the STBs use the 100 to 150 range, so make sure to include this in your new DHCP Scope.

migration - Changing IP address of SQL Server 2012 I might shorten the TTL of the DNS "A" record for the hostname used by SQL Server hours or days before changing the ip address. This will help reduce problems with clients trying to connect to the old ip address. And of course, change the TTL back after the change … How to change my server "ip"? - Server Support and Mar 01, 2011

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Change An IP Availability Group Listener (SQL Server) Oct 31, 2013 Change TCP/IP settings - Windows Help May 21, 2019

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