Since you have wired speakers you will need to use those wires to connect an amplifier. These wires should all go to one location in the house.
What kind of components you need depend on whether you want each room to operate independently.
You could get a stereo receiver if you wanted all the speaker to play the same thing. You would need an impedance matching speaker selector or volume controls to play more than 2 pair of speakers.
You can get a 2 or 3 zone surround sound receiver. It would have an app for wireless control and usually internet radio. You would need an impedance matching speaker selector or volume controls if you had more than two speakers in each zone. A bit complicated to use and has many useless features you would...