Getting shops to bleed your brakes can be bloody expensive. Why not bleed them yourself? Here's a Shimano bleed block for spacing your pistons during the bleeding process. There's two different sizes of bleed block, make sure you get the right one!

For your reference, Shimano Saint and Zee are 4 piston brakes and hence need a 4 piston bleed block. The rest of Shimano's hydraulic disc brakes are 2 piston (XTR, XT, SLX, DEORE). Before you finish your purchase, make sure you've got all the equipment to bleed your brakes. You'll need the following:

A bleed kit or just a bleed funnel (if you've got the other tools hanging around)Some mineral oilA bleed block