Six years of household registration is enough. Can I go to school in one year?

It depends on where the school district is. Many schools require to settle down for more than 3 years, and some have to settle down for 6 years. The property is useless for several years.

The Compulsory Education Law of People's Republic of China (PRC) stipulates that:

Twelfth school-age children and adolescents are exempt from physical examination. Local people's governments at all levels shall ensure that school-age children and adolescents are enrolled in the nearest place where they are registered.

School-age children and adolescents whose parents or other legal guardians work or live in non-registered places receive compulsory education where their parents or other legal guardians work or live, and the local people's government shall provide them with equal conditions for receiving compulsory education. Specific measures shall be formulated by provinces, autonomous regions and municipalities directly under the Central Government.