There are a few different ways to hide your Instagram chats from prying eyes. The first way is to simply archive the chat. This will remove the chat from your active list of conversations but it will not delete the chat completely. To archive a chat, open the conversation and tap on the three dots in the top right corner. Then, select “Archive.” Another way to hide your Instagram chats is to create a new account that only your close friends and family know about. This account can be completely private so that only people who you approve can see your posts and messages. To create a new account, go to the settings menu and scroll down to “Create New Account.” Enter all of the required information and make sure to set the account to private. The last way to hide your Instagram chats is to use a third-party app like Telegram or Signal.