Reading Nietzsche through Deleuze

I’ve had a superficial interest in philosophy for a good few years now (mostly from doing debate in high school,) but never really gone deep into the catalogues of any particular author. Discovering Deleuze has sharpened this interest greatly, and while entering the world of philosophy through his work has been interesting, its left me unable to connect with him in terms of his relations to Nietzsche, Kant, and especially Lacan/Freud. I’m trying to dig through Nietzsche first, as his writing and ideas attract me the most, though I’m a bit lost as to how I should approach doing so. First I’d like to ask what the difference between the common and Deleuzian interpretations of his work might be. I’m also curious which works are the most related to Deleuze, as reading his entire catalogue feels rather daunting. Any additional tips or curiosities would be appreciated!