I don't STRICTLY go by a single philosophy - I believe flexibility is best as I think adhering to a rigid way of thinking is too dogmatic and restrictive. However I have always admired Diogenes - I remember peeking through one of my Ancient Greek Philosophy textbooks (that were never used in class! too underfunded, lol) just to read about Cynicism. His refusal to adhere to social norms, his shocking ways of calling out of bullshit and hypocrisy, his simplistic lifestyle, his identification as a "cosmopolite" - it spoke to me so much, I actually changed my user title on a forum to "The Cynic" for a time :] you could even say Cynicism was my first dipping into anarchism as a worldview, before I turned into one in my early 20's.
Otherwise, I don't view anarchism as just an ideology, but also a philosophy - and it reflects how I approach other people, myself, and the world. I overlook statuses, whether it's someone in legal authority (e.g. cop, politician), educational authority (e.g. teachers, self-proclaimed experts - I am not in any way anti-science, but some individuals enjoy manipulating science for their own self gain - in fact I consider THEM anti-science when they do such things as I highly value the pursuit of truth!), someone of significant social status (e.g. celebrities), spiritual authority (e.g. the Pope, the Orthodox Patriarchate...), familial authority (e.g. blood relatives, parents) and so on - I make sure to ALWAYS question them and never treat them as anything special and avoid idolising anyone as we are all human beings with flaws and they are not above anyone else. Not even to be antagonistic, it's just a healthy habit to think for yourself. Even with ideologues I agree with, I try to look at their personal history and see if their words match their actions, and I try to see the human in them and not just what they're famous for. I believe in taking full control of one's life and destiny and being your own master rather than having anyone hovering over you setting it for you, and I view those trying to cruelly exert power over others as fearful and pitiful children. I'm not free of authoritarian tendencies in myself, either, and I try to be aware of them and challenge them.
Ultimately - I believe in authenticity and that all symbols of authority, fame, or wealth get in the way of genuine connection with others, and I believe in genuine connection and cooperation as equals. So you can say I believe I 'follow' bits and pieces from cynicism, anarchism, nihilism, maybe even some forms of atheistic satanism?
Maybe not a classical philosopher as you may expect, but I find myself rather fond of Emma Goldman - and that respect comes from her actions matching her beliefs, sometimes standing alone on some issues even against her own comrades. I admire that quality. She had a rough childhood and instead of it making her cruel or authoritarian, it gave her a fierce sense of justice. Her writing/speaking style is also full of life rather than cold, distant and academic, and I prefer that over a thinker who is afraid to show passion or emotion.