You wouldn't need electronic voting. You would need electronic voter registration/validation systems, which is a completely different animal. These would replace the old-fashioned 'draw-a-line-through-the-register' system currently in place, and would need to prevent simultaneous voting by the same person at two different stations. I wonder if your electoral register is accurate enough to support this kind of usage.
You'd also need a good network connection at each voting station. You'd also need a private network (as I'm sure you wouldn't want to leave the integrity of an election dependant on the availability of a public network such as the internet. Do we have such connections?
I wonder if this facility would really increase turnout? Given that everyone on the register gets their voting card telling them where to go to vote, there really is little excuse for not knowing. I guess it would help those people who are living/working away from home, but perhaps those living away from home should simply reregister at their current location.
I hope we've learnt the lessons of having technology-led solutions in this arena. The previous €55m mess arose largely because there was no clear business case for the project. It was being done for its own sake. Let's not make that mistake again.