I wrote a shorter version of this on another thread once (I did study feminism, but I don't 'get' the curent wave).
In the olden days (second wave) liberal feminists were those who believed in quite simple equality for women, change via legal reform and in the capacity of education to effect change. They were exemplified by NOW, Betty Friedan and probably most mainstream women who called themselves feminist. Their position is almost mainstream accepted now in most places (maybe not in Trump's US). The kinds of things they argued for were better rape laws, recognition of rape in marriage, access to contraception / abortion, girls in boys subjects, etc., equal pay for equal work and challenging stereotypes. They were upholders of the sex / gender distinction (they argued it was harmful to women), but also put a great emphasis on choice (i.e. women should be encouraged to work because this will give them economic equality, but it should be their choice to do so / not do so). So if you recognise liberal values such as the worth of education, equality, rights, freedom of choice, etc. then you are probably a second wave liberal feminist.
There were always tensions in liberal feminism. For example, most did not openly support porn and prostitution (some did, no 'type' is ever completely homogenous), but few openly campaigned against porn or for prostitution reform, partly (not wholly) because they did see it as 'choice' and also because they considered it to be contradictory to argue for abortion on the basis of freedom of choice / rights to one's body etc. and they against prostitution.
The modern mob seem to have resolved this dilemma by emphasising some elements rather than others. Whatever the current wave is (third? fourth?) has morphed this into a more libertarian model maybe even with anarchist undertones. It is significantly different from that of the second wave. There is more emphasis put on choice (and less thought about and critique of this concept), the s/d distinction has been replaced by thinking about 'gender as about choice' and there ia more emphasis on free-enterprise, women as entrepreneurs, etc.
Modern liberal feminism is peppered with a fair amount of postmodern understandings of identity / queer theory and pop feminism from teh intarwebs. I also think that a lot of the shift began back in the 90s in the height of the porn wars and when exponants of the sex industry were co-opting feminism and feminists to make their case that women entered porn and prostitution through choice and often for pleasure (the 'equal orgasm approach', whereby it was argued that sexual equality was also about women having the same kinds of sexual responses and freedoms as men, etc. - yes a simplification and a problematic perspective).
Note - radical feminism has changed too.