After some research and head-scratching, I plan to connect a 3 Pin UK AC/DC 4.5V 500mA 0.5A Power Adapter (5.5mm x 2.1mm) into a 5.5mmx2.1mm 2 Pins DC Power Jack Female Connector Socket and that directly to a Mini Submersible Motor Micro Water Pump which is rated 3W DC 3-4.5V with a current within 0.05A.
In as far as I have understood so far, this should supply the pump with exactly the power it needs. Have I understood correctly? Should I be mindful of anything else? For example, should I use some sort of resistor to force the voltage to max out at 4.5v?