The prompt is defined by the environment variable PS1 which you can define in .bash_profile.
To edit it, open or create the (hidden) file .bash_profile:
nano .bash_profile
and add a line that says
export PS1=""
Between the quotation marks, you can insert what you would like as your terminal prompt. You can also use variables there:
\d– date\t– time\h– hostname\#– command number\u– username\W– current directory (e.g.: Desktop)\w– current directory path (e.g.: /Users/Admin/Desktop)
The default prompt for common Linux distributions would be \w $, which evaluates to ~ $ in your home directory or e.g. /Users $ somewhere else. There are also website (like this one) that can help you with building your prompt.
If you want to remove the UserName part, your choice would be \h: \w$.
Once you made your changes, save the file with Control+o, Return, Control+x.