Greetings, Everyone!

I'd like to build a clock like the one in the picture. If you can't tell, it is a flip-clock with an alarm that can be set, like a normal clock. However, in order to deactivate the alarm, you have to input a correct sequence of numbers into the keyboard, and it appears on a small LCD readout on the top of the machine.
(If you are familiar with the Television show 'LOST', I am trying to make an alarm clock that is visually similar to the machine in the 'Hatch')
A video of what I am trying to accomplish can be found here:
The hardware isn't a problem; I've already built most of it.
Software-wise, I've seen Arduino boards used for similar projects, but I'm still very new to the technology, and I'm not quite sure where to start. Any advice/wisdom would be appreciative.
Thank you!