Isn't this just social mobility?
Your parents may have been working class and you grew up working class, but I think you are actually middle class at this point, and I've come across many proposed indicators, including that fun grid one that The Guardian did about 10 years ago, but I think it comes down to income.
There are distinct issues faced and things enjoyed by the 4 classes.
Middle face the squeeze of no help and high costs
Out of work are in absolute poverty
Working class are on UC and probably doing the best given all the help
Upper are of course independently wealthy
It used to be based on profession (blue/white collar) but this doesn't work now given the cost of living and stagnant wages and also quality of life for teachers or nurses, which are professions, but poorly paid and overworked.
I also think indicators such as what content you consume or what activities you enjoy are obsolete because the digital age has brought people into contact with things they never would have had in the past, and would have been restricted due to class. Things like theatre are a lot more accessible to all now, for instance. And you might scroll to a TikTok about Radio4 rather than grow up listening to it.