When I was in my teens I found Simone de Beauvoir's The Second Sex very satisfying. Despite the fact It was written more than 50 years ago, it gave me a complete picture of the need for, and purpose of, feminism. I would recommend it to anyone wanting to understand the philosophical basis of feminism.
For me, feminism is based in sisterhood. That's key. Love and empathy. Women can achieve so much if we stick together and have each other's back. DV refuges, rape crisis: these are two of the vital services created by women for women I don't want literal equality, with both sexes treated identically. In most areas the sexes are the same, but in a few important ways we aren't. Maternity involves a lot more time and energy than paternity. Sports is another area.
I guess what I want is liberation. I also want both sexes socialized to be nurturing, empathetic and thinking of others. I feel that, although some of female socialization puts us at a significant disadvantage, there are other elements that should be universal. It would be a better world if boys were socialized to be more caring, to nurture and to abhor violence. If we can't make a world in which male violence decreases, however slowly, feminism is going to be a never ending struggle.
I'm sure that every gain women make is better for everyone. Gender hurts women far worse, but it hurts men too. Freeing gender expectations is good all round.
I'm all too aware of male violence, having been hurt and raped. However I'm also hopeful men can change - and that an increasing number of them want to. I'm biased because I come from an unusually loving, eccentric, functional family, and the start of my feminism was my DF, who told me I could do anything. He made no bones about his conviction that we were the superior sex and that if the world was run by women it would work better. I'm not surr if he's right (Maggie Thatcher) but it was an inspiring start for a girl.