I second the Canon EF-S 55-250mm f/4-5.6 IS STM Lens. Going further in your query, "Do I need a lens hood?" Yes, you do!
The hood is Canon ET-63 Lens Hood for EF-S 55-250mm f/4-5.6 IS STM Lens. It serves two purposes. One it can get you better shots in certain conditions and it offers some lens front element protection.
I am not a big fan of the 75-300mm but I know lots of folks that have it and are completely satisfied with it. They are mostly people like you that are just hobbyists and weekenders that want more than a cell phone camera.