New tabs open in the current tab's working directory, and do not run -e

Hello,
here is another feature I need: when I open a new tab, I need it to open on the current directory of the current tab. That is, I need it to stay in the directory I'm working in.
I also use the -e option quite heavily: I would start it with urxvt -cd workdir -e vim todolist, then open new tabs to get the work done. Tabbedex reruns -e when starting new tabs, so I would get endless tabs with vim complaining that the file is already open. I also remove -e and all following args when creating new tabs.

Cheers,
Enrico