Before going further, I urge you to talk to the appropriate officials at your university about whether this might qualify as a sabbatical. To be frank, I have never heard of anyone being given permission to take a paying, non-research job elsewhere on their sabbatical.
I've taught while on sabbatical, and many of the sabbatical visitors to my department teach for us. Of course, the
main point of the sabbatical is the research, but a bit of teaching makes one a more fully integrated member of a department. - DvF