We do stockings first too. It has the added bonus of keeping the keeps occupied while I get ready in the morning. I let them go through their stockings as soon as they get up.
Usually last. Dd wakes us up after Santa has been here ahd then she starts looking at what Santa leaves and then we open wrapped gifts and usually leave stocking for last.
We sneak in and lay DD's stocking on her bed to find when she wakes up. Of course, the way she sleeps we could run in shrieking, throw it on her and slam the door on the way out, and she'd still be sleeping...
When I was kid it was stockings, then church, then presents. Now that I don't go to church and my dad goes Christmas Eve we do stockings followed by presents.