In Scotland (or at least where I grew up) it is traditional to clean your house thoroughly for 'The Bells' - you have to have a clean house to see the new year in, symbolic of how your house will be for the rest of the year. This year my house is so horrid I can't even bear thinking about it, but I have cleaned the main living areas and emptied all the bins. - I usually do most of the cleaning and tidying after 10pm
Just before midnight we open the windows to let the old year out and the new year in, you have a drink in your hand for 'the bells' and Auld Lang Syne is sung at the end of the night (rather than right at the bells like everyone on TV seems to do)
Sometimes we might go 'first-footing' (being someones first visitor of the year) straight after the bells but usually not till the next day. We always take shortbread (I think it ought to be coal, but I grew up in the city there wasn't a lot of coal about)
For dinner on New Years Day we always have steak pie (not steak and kidney) with puff pastry.
It has also become traditional for me and OH to sit in and be nice and cosy and think about all the poor souls freezing their asses off in the streets of Glasgow and Edinburgh - especially at 3am when there are no taxis.

So what do you all do?