which arduino to use ,suggestion for clock / calendar

i have a few HDSP-2531 amber smart displays, and i was wanting to make a self updating clock calendar.
i am sure any arduino would work, but i would like to use the smallest as possible.

also later on i may want to install it into a empty bay in my desktop. so maybe that can be a source for its self updating ability? i have very little knowledge of code, but i am fairly good with electronics.

any suggestions and or help is appreciated, thanks.

oh, i forgot to mention i want to use 2 of these displays, 1st one for time, and 2nd one for date/year

data sheet for display http://www.avagotech.com/docs/AV02-2018EN
and here is the image.

What are you planning on using as the source of date/time for the display?

The Arduino is not able to do this on its own, you will need a real time clock such as this one to provide an accurate date and time. You can read the date/time from this board using the Arduino and I2C communications.

That display uses quite a few pins for the interface (~18), which would take up most of the pins on an Uno, and leave a few for a I2C connection to a real time clock chip.

If you added an external shift register, you could make the overall footprint smaller and use a Nano/Micro/Mini, but an Uno should be small enough even for a 3.5" bay, and would be simpler to build.

Handling an extra display should be quite easy, it just needs one more pin for chip select.