I'd like to ask if I'm an illegal household and can I stay in the hotel?

No, at present, domestic hotels need to check their identity cards and register their identity information.

According to Article 6 of the Measures for the Administration of Public Security in Hotel Industry:

Hotels must register when they receive passengers. At the time of registration, the passenger's identity documents shall be checked and truthfully registered according to the prescribed items.

To receive accommodation from overseas tourists, an accommodation registration form shall also be submitted to the local public security organ within 24 hours.

Extended data:

The complainant, Mr. Zhang, said that he booked a room in a hot spring resort at the price of 590 yuan through a group buying website. On the same day, when the couple checked in with their 3-year-old child, they were told that they needed to provide the child's valid identity documents before they could register the child. However, Mr. Zhang's children did not apply for identity cards, nor did they carry household registration books and other relevant identity documents.

At that time, the resort said that it could arrange personnel to take it to Dongfu police station for temporary appraisal. However, Mr. Zhang felt that it was too much trouble and sent the children home without checking in. Afterwards, Mr. Zhang thought the resort's move was unreasonable, so he called 123 15 to make a complaint.

After interviews with both parties, the resort displayed its information about reminding passengers to check in with valid identity documents on the group buying website, but it was not easy to be seen by consumers because of its small font and no eye-catching signs. Under the guidance of the staff, the resort admitted that there was negligence in this regard and expressed its willingness to carry out rectification.

According to the staff of the market supervision and management office, it has long been clearly stipulated that you must show your valid documents for real-name registration when staying in a hotel. According to the relevant regulations, passengers must have one card for accommodation, and children, like adults, need to register with valid identity documents. After communicating with Mr. Zhang, he agreed with the necessity of staying in the hotel with his ID card and was willing to withdraw the lawsuit.

People's Daily Online-Xiamen: A 3-year-old child refused to stay in a hotel without an ID card, causing a dispute.

Baidu Encyclopedia-Measures for the Administration of Public Security in Hotel Industry