Funny, Karen - just yesterday I weeded my mint patches and noted that I've once again lost two of them. How can that be, one might ask? Beats me, but I am down to a 1'x4' strip of apple mint and smallish clump of chocolate mint. Lost mojito mint, spearmint, pineapple, and orange mint. Several catnips (rolled to death). Perhaps others as well that I've planted over the years. To be truthful, though, my mint bed is on the east side of our barn, is bordered by a gravel driveway, and gets no supplemental water. I just keep popping new and interesting mints in and hope for the best. It's a nice softening edge between two hard surfaces.
Chives are mostly well behaved for me. I have one clump in the herb garden and another outside the kitchen door. Both increase in girth, but don't re-seed. My worse problem with chives is keeping them clear of pasture grass, which mimics the chives.