I don't agree with the advice for heavy wire. This thing is likely to be small. The furthest LED away from the power supply is going to be under 1 meter. But there will be many power wires. Each segment of strip should get power from a central point, even though the data lines snake through the segments linearly.
160W 5V power supplies do exist. They are not going to be cheap unless you can find a PC power supply that will work for you. Some of them have extremely high current available on the 5V outputs. Persuading them to switch on without an actual PC motherboard attached is often the hardest part.