And what brake fluid is best?
If you are really good and confident no air is in other parts of the system you can indeed do a partial bleed. However, it takes only a little more effort (and fluid) to bleed the whole system. If you do the whole system you will know that there is no trapped air AND you will have removed all the old dirty fluid that was in the system.
how many pumps does it take for the fresh fluid in the reservoir to rear the rear caliper?