Your situation: 1. 120㎡; 2. The old house only has a broadband interface in the study
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Your needs: Want to achieve three rooms and one room full house Wi-Fi coverage
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Under normal circumstances, there are three solutions to solve the Wi-Fi of the large house:
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AC AP (can pass directly due to the wiring situation of your home)
Mesh networking (Wired & Wireless, wireless mesh is recommended due to the wiring of your home)
Single router directly done (slightly higher budget but less work)
If the budget is less than ￥1000, it is recommended that wireless Mesh networking, you can consider 1 H3C Magic NX54 and 2 H3C Magic NX30, which are both Wi-Fi 6 dual-band full gigabit routers, vertical modeling signal is stronger and coverage is wider, and the most critical is very stable
Personal experience, with Huawei router, the effect is good.
The mother router, the light cat, the WiFi name and login password can be set with the mobile phone, not limited to Huawei mobile phones, I use the millet phone Settings.
The sub-router is simpler, it can be plugged into the power socket in another room, no need to set, and each room has the same WiFi name and the signal strength is consistent.