You can do both.
I am with Penguins on this. It is possible to teach your children to be aware of the inequalities that women face, and then to pick and choose the particular situations where they feel they can make a difference, and to also allow to slide those situations they cannot possibly win at. They do not have to go through life simply accepting the status quo, trying to make themselves invisible to whatever is going on in their at that time point.
The first thing required though, is a consciousness or awareness that these inequalities are occurring - some people either willfully or unconsciously make themselves blind to certain situations, and in regards to feminism, there are many, many men who sit in that category. Some of these can have their heads turned and their perceptions changed, but it is a uniquely human trait that we can refuse to 'see' something if we so wish. How you get someone to change their perceptions of something is a whole topic on its own.
Next is a realisation of the battles that you (personally) can win, and the battles that you cannot win. For example, I talked about challenging a man (I have to work closely, and have regular interaction with), who clearly didn't do the cleaning in his own home, but I knew if I approached this in a calm and simple manner, I could 'win' this particular battle. A battle I may not be able to win (at least at this time point), is the sexist views of the CEO of the company (which I mentioned upthread), because being new to the company and not working with the CEO at all at this point, I don't think I can influence him one jot. However, my time will come on that one as well
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And these are not just isolated incidents in time, these small wins I am having are a progression of events where I am working to change the perceptions of people around me on how women should live their lives. As I have posted elsewhere, I am a big believer that many, many small actions lead to much bigger things.
And Vezzie, I am sorry that you are having such a shit time - it appears to me that you have been made the default 'adult/parent' in the relationships you have described with your work and your H. They keep defaulting on their responsibilities to you, and somehow expect you to just be 'ok' with that, like a child does with a parent.