Do not go to Airdrie to spend the day, there is abosolutely nothing in it, also there is nothing to do near the Hilton in Bellshill unless you want to go to M&Ds which is not far away, if i was you i'd go to Glasgow as there is plenty to do to pass the time. Here is a small guide, http://www.virtualtourist.com/travel/Europ...gow-TG-C-1.html
If you get to the stadium early enough then you will be able to park in the car park at the Excelsior Stadium for the price of £2, if not you will have to park in the local streets. Please bear in mind that there will be roadworks near the stadium and traffic congestion will be bad. http://www.motherwellfc.co.uk/index.php?op...&Itemid=196
As for the pubs, maybe someone else could let you know about that as i'm not too familiar with the area.