Right a few tips for moving in...
Firstly the uni might stagger people coming, I think they did that a few years ago, not sure if they do it every year - ie give people a suggested time to come, because otherwise the traffic on Saturday especially is terrible.
If you are going to live at one of the Headingley based halls (or Bodington) then look for a route which means you approach Headingley from the north, not from the city centre. Everybody follows the signs to Leeds which takes them to the city centre where traffic is bad anyway....expect gridlock on move in day. If you can approach from the north the route might look more long winded but it could save you time if you can cut out the centre.
Think carefully about what you want to do regarding when your parents leave...some peoples parents stay for a while to help them settle in, ie help them move their stuff then go and take them for a meal and do some shopping for them. This is all fair enough, the only problem might be if you've arranged to do that and then when you move into your hall there's someone fit whose going to be living with you and you want to start chatting to them and having drinks straight away...you might want to shift the parents out of there rather than looking less than cool by having them hang around and embarrass you. On the other hand if your parents drop your stuff off and then go, and you're in an empty flat, then you might feel a bit lonely and nervous about the situation.
Bringing a few drinks down can help break the ice but I wouldn't go overboard, some people are not big drinkers and it is intimidating. I still laugh at when I got to my flat, two girls were there who were quite quiet and had already told me they were 'total lightweights' and not big drinkers, then the other lad appears with a mini-keg of Boddingtons and goes "evening", and his beer bellied Dad then followed him with about 64 cans of Stella, "so where are we gonna put this then?". He actually wasn't that bad - had just brought a large stock to keep him going, but I think it did scare the girls given that I'd just been telling them not everybody would be wanting to get trashed all the time, when he turned in with all of that.
Don't expect to be 'going out' on the first night or even the Sunday night, most people just want to stay in their flats and meet their new flatmates and the people in nearby flats, even if people talk about going out the time usually goes so quick talking to people that you end up not going. All the going out starts on Monday of Freshers Week.