Anybody know what this broken hose piece is called? Thanks!

 

It's the bread hose -- you have to purchase the whole hose ... they are cheap. $20- $25 . check to make sure the other are ok --- they get brittle and can snap if you lean on them.

To remove ..... Spread the wings of the clip with two small nails or the "tool" and the fitting will pull out. The new hose just clicks in -- has an "O" ring

some cars have the tool -- look for the place where the two hoses come together. It's suck on the fitting ...