Having a vehicle as an asset in a limited company in Ireland is classed as a benefit in kind, which means you will be taxed on 30% of the value of the car. It is therefore not tax efficient to allow the company to purchase, hire or lease a vehicle.

You can claim the mileage allowance whilst training and this can also be claimed when you are working out of base.

NO expenses relating to cars can be claimed except mileage when travelling on out of base trips This includes registration fees, tax, insurance, interest on finance, repairs etc

The car should therefore be invoiced to you personally.

This taxation also applies to motorbikes. The only vehicle it would not apply to would be a bicycle. It is not currently tax efficient to add any type of motor vehicle to the company as an asset.
In any event, you cannot claim for travelling to and from your normal place of work