Bash autocomplete like zsh

I'm using bash, but I'd like to have zsh style autocomplete (you hit tab and it tabs through the possibilities), rather than what bash seems to do, which is display a list of possibilities but not choose anything until I type some more to disambiguate. How can I get zsh type behavior in bash?

Searching for a solution has turned up lots of answers to other questions, so I'm hoping I can get a simple answer here (i.e. what to paste into my .bashrc).

(And to answer the obvious question, I need to use bash here because I just joined a team and they do some stuff to set up bash to make the environment easier to work in. I can probably eventually make sure I have it working the same way in zsh, but for now it's easier if I use bash and just get it behaving more like zsh during interactive use.)