How do I correctly rebind select-pane commands in tmux?

Question

By default, tmux seems to be using

C-b, Left to move left a pane
C-b, Right to move right pane
...

I want to use

C-b, h to move left a pane
C-b, l to move right a pane 
...

Here's my current attempt in .tmux.config:

unbind Left
unbind Right
unbind Up
unbind Down

bind h select-pane -L
bind j select-pane -D
bind k select-pane -U
bind l select-pane -R

I would appreciate any assistance.