You may find that your hotel has wireless internet access (the one I stayed at in Dublin did). Dublin airport is a wireless hotspot for sure.
I had to search for the connection using the software provided with my wireless card (I think in Dublin it is Eircom), when selected, if you open your browser it will take you to the providers home page. From there you can purchace internet time, I am not sure, but from memory I think it was around £5.00 for one hour (I may be wrong about that!). At Manchester airport you can access information from the airport website (flight times etc. ) but everything else must be paid for.