Hi C.
I can just say that when my son turned one, it was'nt about his friends, it was our friends, so we did a wonderful party at home, played volleyball and outdoor games by the water. Everyone had a blast and of course had a special cake and celebration. We all enjoyed my son and the other little ones played the games with us. We did the celebration thing early on, so everyone could take naps. (not the adults).
Later on, we did the event parties, but even at a park, if your house is too small or you don't have your own space. The children aren't social enough yet and they enjoy and want to be with their parents at this age.
Hope you get lots of input and most of all, don't stress! It was a great memory for me, my son walked that day, for everyone to see and we all applauded. It's the memories for you, they won't remember, you'll be telling them the stories!
God bless!
D.