Install zsh: dnf install zsh, then install the Oh-My-Zsh add-on with sh -c "$(curl -fsSL https://raw.github.com/robbyrussell/oh-my-zsh/master/tools/install.sh)".
Next, move all your personal shell settings from ~/.bashrc to ~/.profile and source the ~/.profile file in both of your shells as follows:
~/.bashrc:source ~/.profile~/.zshrc: same thing -source ~/.profile.
The following did not work for me although it was recommended for the ~/.zshrc file: [[ -e ~/.profile ]] && emulate sh -c 'source ~/.profile'.
Solution based on one by Ryne Everett [1].