Originally Posted by oris

Amazon is your friend here.

I would recommend getting a Shimano bleed kit including the little adaptor for the funnel; this is a separate piece to use the funnel on road shifters. An olive/barb tool is handy to install the barbs but you can get away with a vice and hammer if you're careful. I included a link to the one I use; it has a side cutter for hoses as well. Otherwise make sure you have a 7mm wrench for the bleed ports on the calipers since it's not usually included in metric wrench sets. Just use the red wedge that the shop gave you to bleed the brakes.

Shimano Funnel Adaptor
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1

Olive and barb tool
https://www.amazon.com/gp/product/B0...?ie=UTF8&psc=1