I respect you for asking. Learning to manage better has never stopped for me but the difference between no training and some is massive. It will be good for you and your colleagues.
The book that has made the most difference to me as a manager is Crucial Accountability and it's very relevant to what you're asking about.
I'd really encourage you to do an intro to line management type course as well. I've never known anyone come out of one saying that was amazing but people always find them useful.