Assuming your pump only needs to run in one direction, I don't think you need the motor shield. If it is a DC motor you can control it with a MOSFET
or a relay. If it is AC, you can use a power-switch-tail
I would recommend something like a wing-shield
to make all the connections easy. It also has a prototyping area in the middle that can be used for things like your RTC and indicator leds. The RGB LCD shield
would give you your display and buttons. If you don't want to stack shields, you can leave off the headers and connect it to the Wing Shield with just 4 wires.
Not sure what would work for a newborn chick detector. You might be able to use the motion-detection feature of this camera
Power supply requirements will depend a bit on what you are driving with it. If the pump and water heaters are being powered by this than you will need much more than for just the electronics.