I used 2 20ml syringes. One with tubing from pets at home for aquarium air hose as recommended on here.
Easiest to remove brake from bike and have vertical with lever unit at top and caliper at bottom. I attached to an old set of handlebars to keep the lever unit at the right angle. Remove the pads and put the yellow block in their place.
Put tubing on one syringe, fill with oil and purge out any air bubbles from the syringe/tube. Then attach to caliper bleed nipple. A tip is top put a spare olive or small cable tie around the tube at the bleed nipple to hold it on as it could get popped off with the force of pumping through the system.
Open reservoir and remove screw. Lightly screw the other syringe into the resevoir opening thread.
Open the bleed nipple on caliper with the tube and oil filled syring attached. Pump oil up through the brake system. You can faff around here tapping hoses etc to move any air bubbles up the system. Check for oil flow into the empty syringe and pump until no air bubbles are coming through.
You could probably stop at this point. Tighten bleed nipple on caliper and remove syringe and tube. Remove syringe from resevoir. Pump the lever slowly a few times to see if any small bubbles rise to the top. Drop a few extra drops of oil in there so that it is filled right to the top. Put screw back in and job jobbed.
If you want to be super an4l then you can attach an oil filled syringe with the plunger removed to the open resevoir and use it as a hopper to pump through the system using the lever. I have not had to do this. My brakes have been solid and consistant with the lazy method but only been on the bike a short while.
In use the brakes are absoulte class so far. Tons of power and feel.
Don’t be scared of having a shot yourself as there is little to break and you will only learn more about maintaining your bike. Do it in a tidy area if you are ham fisted and drop screws etc.