dog hair does suck. short of putting a cover on your seat when she rides with you - you can obviously use a high suction vac. Usually vacs at car wash areas are pretty decent. If you don't feel like doing this all the time, there are other options. Something that sound pretty ghetto but works pretty well is duct tape. Get like 8-12 inches or so of duct tape - and join the two ends making a circle. Put your hand into that area and slide your hand around your seat rolling to new areas of duct tape. The sticky tape is pretty good at pulling out stuck hair. If the tape gets dull - rip off some more and repeat. That way you can keep the lady.
