>1. Positioning - the guy who delivered them was nice enough to adjust the positioning so they face north-northeast, but one of the hives is still in shade when the sun comes up (it'll end up getting sun probably around noon or so). Should we move them so they both get sun?
Sun is nice. But it's not that big of a deal.
>2. They're on a bit of a slope, does that matter?
Yes. Too much tilt and they will tip when they get taller. I would make them level.
>3. If they got delivered last night, how long should we wait before transferring them into our own boxes?
No reason to wait.
>4. How often should we be checking them after transferring them to see if they're going OK? Weekly?
Weekly is a good idea, especially at first. Later when you have learned more and they are settled in, I would do it less.
>5. When will we know it is time to put a super on? I assume when we see they are full?
80% is the general rule.
>6. They are in our yard, and there's a guy who mows our lawn from time to time. I read somewhere bees will attack you for mowing etc around their hives - for those of you with hives in your yard, how do you mow your grass?
Sometimes. I always have a veil in my back pocket like this one:
http://www.bugbaffler.com/collections/insect-protection/products/headnetSorry for all the questions - I have done a lot of reading but it's good to get some confirmation from other beeks too!