See I think the "bad feminist" or "guilty feminist" trope is part of the problem, and illustrates how society / patriarchy / internalised misogyny manages to do a number on us even we are trying to be feminist.
Why is caring about your clothes and how you look a bad thing, when it's OK for men? Because while there's a pressure on women to look feminine (as there is on men to look masculine), women are portrayed as trivial and vail when they do that, while men aren't. Men don't get stick for shaving or not shaving their facial hair, wearing a nice suit to work, spending money on clothes they like. Men are seen as natural and normal for doing that or even praised if they have fashion sense. And it's not true that men don't care how they look – take a typical man and tell him to wear a frilly shirt, make up and get a perm and he'd be likely to be horrified (of course some men break the mould but not most). This is the same patriarchy as affects how women want to dress, but men aren't blamed for tit.
So when I'm thinking about what I mean by feminism, and what I think are OK and not OK things for me to do according to my own value system, I try to compare men and women and look at what happens in society as a whole, and ask why I want to do something. Doing what I like with my body hair? If it's OK for men, it's OK for me. Changing my name if I got married? No, because I see that as reinforcing an unfair stereotype and giving out a message that don't think I'm as important as a male spouse.
Of course it can be complicated – i'd consider removing all my pubic hair not OK if I was doing it to please or to attract a porn-addled man, but OK if I genuinely liked it myself.
Re fulfilling caring roles, if you are stuck doing more of the caring and can't bring yourself not to, ask why that is. I'm the same - I do 90% of the support and nurture for the DC I share with my ex, and always have. Why? Because I was socialised to feel shame if I don't. Because he was socialised not to feel shame, and so he didn't bother. Because given those circs, now the kids look to me to be there and I don't want to let them down. I can't change all that by just refusing to care, but I can challenge the processes that led to it and try not to repeat them.
Also I think my feminism always changes and grows the more I learn and hear about and the more feminists I listen to and discuss things with. You can't be some kind of "perfect feminist", that's just another way for women to feel bad about themselves.