@TexasCowboyBBQ Hmm not sure what you're seeing but "Move" is just "Label" + "Archive." If you see the Label button, go ahead and create and apply a new label for that sender, and they'll show in both that new folder and also in your inbox. Use "Archive" to take them out of your inbox.
@TexasCowboyBBQ Hi, labels are Gmail's equivalent of folders. From the inbox you can search for the sender, select all (use the ☐ menu), and then use the "Move to" (folder) menu > Create new. It will move out of your inbox and into the folder. You can also use filters to do this automatically.