Yeah the 1990s was a cool era to grow up in.
I think a lot of Blair's success in his early years was down to him tapping in to the "Cool Britannia" thing. Britain had changed, it had left behind the troubled times of the 1970s and 1980s and things were getting better generally. The cultural scene with British music was pretty amazing, it was the era when English football went from a sport associated with hooliganisms to the Premier League with it becoming far more part of British society (and hence a lot more money coming in and a lot of top international players coming to England.) Society was changing and becoming more tolerant, racism/homophobia were now on the margins rather than being things people openly expressed.
However to give some balance, not everything was rosy. Crime was higher in the 1990s, violent crime especially. I think policing has improved since then. Unemployment was also much higher in the 1990s although it was generally on a downward trend. Low wages were also a real problem, people talk about the cost of living crisis now but inflation was higher then and we didn't have the minimum wage or tax credits.
Also public services were shoddy back then, hospital waiting lists were really long, I remember having family members on the NHS waiting list for surgery and they were on like 18 months to 2 years, "being able to afford private" was the sign of being really well off. Schools were crap you would have to move out to a room where there was no heating and you had to sit with your coats/scarves on, for weeks at a time because there was some facilities problem in the normal room and it took ages to get fixed because there was never any money. It makes me laugh today when people say how "mass immigration" has pushed public services to breaking point, they aren't near the breaking point they were in the 1990s before most of the immigration happened.
I think it was a harder time if you weren't well off but if you were a university student/graduate then going to uni in the early 1990s would have had some advantages. You got grants then so didn't get in as much debt (although it was still a system of grants and loans) and you didn't pay fees. The overall student support was lower - if you talk to people that went to uni back then they will reminisce about how shoddy the accommodation they lived in was, and how completely broke they were all the time. It was undoubtedly hard to be a student back then! But the graduate job market was probably easier if you had a decent degree, and if you graduated in the early to mid 1990s then house prices were at a low point and after a few years working if you could get a mortgage you might well have seen your house double in price over the next few years. They enjoyed a graduate opportunities and housing windfall that the current generation can only dream of.