(For background, I'm a faculty at Carnegie Mellon University in the Human-Computer Interaction Institute) For best books, it depends on if you want to understand users or do implementation. But generally, I'd highly recommend Don Norman's The Design of Everyday Things to improve how you look at the world, and Steve Krug's Don't Make Me Think for simple and practical design tips.
For tools, the best is paper prototyping, where you have your team just draw it out on paper and simulate the UI. It's simple, fast, and cheap, and from a cognitive perspective, you can explore more of the design space (think breadth-first search instead of depth-first), and you don't get overly attached to your designs.
In my course on UX design, we also use Balsamiq and InVision, though other tools seem fine (e.g. Marvel, Figma, etc). One of our alums created this great chart comparing different prototyping tools: https://www.cooper.com/prototyping-tools
For schools, some to check out would be Georgia Tech, University of Washington's Master's of HCI, Indiana University, University of Michigan iSchool, and (of course) Carnegie Mellon's Master's of HCI.
And lastly, here's a slide deck I put together and used at my startup several years ago. It was intended as a short 1-hour crash course. https://www.slideshare.net/jas0nh0ng/01-1hourcrashcourseuxhc...