Basically there are apps which I will download, like Instagram, and delete it when I’m done for the day. But when I go back to the app store there is a cloud and an arrow on it which means I have downloaded it before but I don’t want that therefore my children not to see it. Is there a way of me deleting the app without it showing that I have downloaded it before?
There is no way to hide the download. You can hide it from the purchased list but the cloud will still appear.
Give your kids their own Apple ID’s, change your Apple ID password and device password.