Standard Load Balancer and Public IP addresses support resource group move

Standard Load Balancers and Standard Public IP addresses now support being moved across resource groups within the same subscription. Moving a resource only moves it to a new resource group. It doesn't change the location of the resource or the subscription. Moving Standard Load Balancers and Public IP addresses across resource groups is supported in all Azure public cloud regions.

Learn more about Standard SKU here You can also learn about moving resources across resouce groups here and supported resources here.