Do it yourself

Hi all, Just joined and reading through past discussions. Sounds like a great group! My fiance and I recently bought a home (near Santa Cruz, CA) and LOVE all the projects we are diving into. My fiance, especially, enjoys being a DIYer. He's taken to it like a duck to water and is building up his 'arsenal' of tools in the garage. I need some advice: See photos attached of our house. You see that ugly lower roof that hangs vertically? First of all, we HATE how it looks, and Secondly, we don't think it serves any function. The roof is new, only 2-3 years old, and the new gutters are placed above those wierd 'eaves' (what do you call that?) Anyways, we want to remove them....and I'm not sure if it's something simple and straightforward, or if we have to worry about damaging the integrity of the roof? Or??? When examining it, it seems we can simply "chop it off", so to speak. Please look at these photos, and if anyone is familiar with this kind of roof, or has removed it, I would LOVE to hear back! Thanks, Elaine