I’ve done countless solo trips and know several people who do the same. If you plan to rope drop on any of your days (and I hope you do on at least one of them), I strongly suggest doing Peter Pan first and then go on to the other Fantasyland attractions.
As far as being there on your own, for people that aren’t accustomed to venturing forth solo, it can sometimes get lonely. I don’t have that problem, mainly because I’m happy to strike up conversations with nearly anyone at any time. Also, when/if I pass a group that’s struggling to get a pic, I’ll often offer to take it for them. Most of the time they’ll take me up on it and perhaps a brief conversation will follow. I can get by on small doses of socializing so that’s a help. Also, I love talking with CMs. I’ll often ask them what their favorite, most memorable or most unusual park experiences have been. I’ve heard a lot of interesting stories, some of them nearly unbelievable. But it’s another great way to pick up your spirits if you get a bit low and, again, a great way to hear some tasty anecdotes.
One other small thing I do to take a mental break is to bring along a writing project in which I’m involved. I write for a music magazine here in LA and also write TV comedy pilots (hoping to sell one sooner or later ;-)). Once or twice throughout the day I’ll pull a page from my pocket and work on it for 10-20 minutes. It’s like a form of meditation for me and when I’m done, I’m recharged and ready to return to the Disney experience

. I also like to grab a cup of tea and people-watch from benches near the hub/along Main Street.
One last thing to keep in mind. There are many other solo travelers at the park with you. Some people can feel awkward on their own. But there are likely dozens of other soloists there on any given day. You’re not weird, creepy or alone… even when you’re on your own

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I hope you find these tips useful. Have a great time!