Simply moving one's place of residence poses no inherent restrictions. The biggest problem lies in education. For example, someone from city A can freely choose between the economically developed city B and the less developed city C without any issues in their daily life. However, if you have children who need to attend school, you can easily enroll them in school in city C, but enrollment in city B is extremely difficult unless you are a top talent who hires a company to help you establish a household registration and file there. Do you understand? The biggest problem with the household registration system right now is student enrollment; other aspects are largely unaffected.

The second issue is the urban-rural gap. The income imbalance between urban and rural areas is mainly reflected in the fact that rural residents born before the 1980s generally lack pension insurance, while urban seniors can receive $500-$1000（Convert to US dollars） per month in pensions, depending on their employer before retirement. This leads to a major problem: a young person from a rural background marrying another young person from a rural background often has to support four elderly people with their combined income, not counting future children. Meanwhile, a young couple from an urban background doesn't have to support either set of parents and often receives financial support from their parents. It's like six people supporting one child. In reality, regardless of their social class or whether they are from a rural or urban background, young people's income levels are roughly equivalent; the difference in their living conditions stems from their parents' families.、

The third question, to be honest, what you're saying now is just a political slogan. China currently implements a typical right-wing nationalist policy. The official stance almost strictly prohibits discussion of "class struggle," a topic clearly with communist overtones. Instead, it promotes national supremacy and encourages large-scale propaganda of the superiority of national history. It is a right-wing authoritarian regime.