The gift part is hit or miss with one yr olds. You might open one gift and the kid throws a fit to be able to play with it, then isn't interested in any gift after that. You might have a child that waits for the next wad of tissue paper to come at her while all the grown-ups ooh and ahh over the gifts. Or you might have a child who won't sit for it at all, so you are the one that opens gifts.
My first child sat in Daddy's lap and excitedly waited (and helped a little) for each gift to be opened. Even though she wanted to play with the new toy, she eagerly sat back down to open the next one as it was handed over to her.
My second child got overwhelmed at opening gifts. He sat in my lap, but kept trying to get away from the crowd and didn't care a bit about presents.
It was all family at his party (about 30 people, like yours), so I wanted to open everything, but they weren't as interested in MY reaction to the gift as they were about seeing HIS reaction. So, present opening wasn't all that special.
For my son's second birthday we didn't open gifts at the party and it was wonderful! I have a friend who started this and said it was great for them, so I decided we'd follow suit. Anyway, we thanked each guest for their gift and everyone was very understanding of his age and attention span when we explained we'd open them later at home. The kids weren't concerned about it either because they were too distracted by the jump house and cake. We opened gifts when we got home (after nap time) and sent out thank you cards, personalized with my son's own scribbles. It takes a few days to get them to finish drawing on the thank you cards (maybe 2 or 3 at a sitting, tops), but it gave us a fun "mommy time" activity for those days.
