Addressable RGB LED Strip
Each will only draw as much current as they normally would from a 5 volt supply. If you had a 5 volt 100 amp supply they still would not draw any more. 

The amount of excess current a power supply can deliver doesn't change what the load will take from that supply. 

For example, if you had a 5 volt supply with a 1 ohm resistor as a load the current would be 5 amps. 5 volts / 1 ohm = 5 amps. And if you had a 5 volt 10 amp supply the current would still be 5 amps. Same with a 20 amp supply. As long as the voltage is the same, going up in current capacity is safe.

(LEDs are not resistors but with this application it is much the same)

When you do wire up the LED strips make sure you are using thick enough wires.