Hang the bike front wheel up, this will send any air bubbles to the lever, then just bleed by attaching the cup full of hydraulic fluid to the bleed port on the lever. Then keep pulling the brake lever just to get the last air out and more fluid in.
Other way is to inject it from the brake caliper and wait for the cup to get a bit fill.
Quicker this way.
Thats the way I do it. Love Shimano hydros compared to most others for servicing. Not done one for a while though.
@edscoble started
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Hang the bike front wheel up, this will send any air bubbles to the lever, then just bleed by attaching the cup full of hydraulic fluid to the bleed port on the lever. Then keep pulling the brake lever just to get the last air out and more fluid in.