Don't you find it painful having your tmux session rooted in your homedir (e.g. for all new windows)? I nearly always need to have it anchored some project working directory.
I have tmux anchored to ~ because I hated new shells inheriting random cwd states. Instead I have a function to cd to "bookmarks" with an easy way to add to it and completion.
I have the following in my ~/.tmux.conf so that whenever I split pane or create a new tmux window, it sets the current working directory of the new pane or window to the same directory in which I was before:
# Open new pane or window with the current directory
bind '"' split-window -c "#{pane_current_path}"
bind % split-window -h -c "#{pane_current_path}"
bind c new-window -c "#{pane_current_path}"
So although the tmux session is run in my home directory, I only need to change the current working directory to my project directory once and then when I create new panes and windows, they have the project directory as the current working directory.