OS: Lubuntu.

Can someone please, help, which is the command from the terminal(cmd) to search on all the external HDD, on all its folders and sub-folders. I would like to search for all the photos having this inside of their names: "202010"

Are there two/three different commands if some of the photos could have in there name some characters in front of "202010" and other photos could have some characters after "202010", or maybe both ways, characters in front and after "202010" ?

Is there any update command, from the terminal, for updating the last photos copied on the external HDD, from another machine, then the machine where I actually connect the external HDD, and search for photos? Or the photos will be indexed anyway by the new machine?