Having been solo many times (with another trip coming up in November/December), I may be able to help you with whatever questions you may have. Just drop me an e-mail and let me know and I'll shoot some answers right back to you.
Some hints that I've found help being there solo:
I've found on different trips, people will strike up a conversation if they see me sitting solo for a parade or show or even just waiting for transportation to come, like a bus or monorail. This is nice and kills the waiting time.
Even if EPCOT is not opening early for MH, head to the TTC early one morning. The EPCOT monorail does not start running until 7:30am and it is usually pretty empty that early. Ask to sit in the front and you can get some amazing shots of Spaceship Earth and other parts of EPCOT.
Bring a book. This comes in handy in alot of places. While waiting for a show or parade to start, or while eating, etc. This keeps you occupied and feeling less awkward.
Make sure to take a daily break, even if you are going solo. You'll be surprised at how much walking you do during the day and your tootsies (as well as the rest of your body) will thank you for the break. Take a dip in the pool, soak in the hot tub (if your resort has one) or just kick off your shoes and lay on the bed for awhile.
Take some time and wander the parks during Magic Hour (EE).
At the Magic Kingdom, stroll down Main Street and listen the soft music playing in the background as you approach the castle. Be sure to look at the windows on the second floor. They have some cool stuff on them. Also after the official park opening, stroll around Liberty Square.
At EPCOT, stroll around Future World both during MH and after 7pm. It's really beautiful to see the buildings and hear the soft music in the background.
At MGM, again do some strolling and look at all the different buildings.
Finally, at Animal Kingdom, hit it one morning at MH, but head straight for the Tree of Life and take a nice walk around the tree. It is so cool to see how many animals are up there and usually the paths around the tree are pretty deserted. You can hear the ToL music in the background too!
Dining alone at WDW is like dining anywhere else, well sort of. One of the best parts of heading to WDW solo, is that you get to choose where you want to dine and when.
Character meals are great and the Crystal Palace is the best!! I've dined here both with family & solo and have never been disappointed. I typically make PS (even in slower times of the year). This way I know I have a ressie. Most of the CM's at the restaurants are nice and don't make you feel out of place because you are dining solo, especially character meals. The characters usually stop to say hi. If I don't want a picture taken or just want to enjoy the atmosphere of the restaurant, I usually wave, then go back to what I was doing. This way the characters know I'm not interested and move on to the next table. The character meals at the 1900 Park Fare and Garden Grill are also very good.
Some other dining suggestions would be at Cindy's (ask for a window table) either for lunch or dinner, Liberty Tree Tavern (L or D), Concourse Steakhouse, O'Hana's, Yachtsman Steakhouse, Beaches & Cream, Le Cellier, Rose & Crown, Tusker House, 50's Primetime & Sci-Fi Theater. Oh, and definitely dine at Spoodle's. This was the best meal I had during my last visit!!
Don't be afraid to get pictures with the characters in the parks. There is always a CM with the character, so they can take the picture for you. I did this during my last trip and got loads of shots.
The only ride (for now) that has a designated "singles" line is Test Track. Mission Space will also have one, once it opens.
Don't forget to utilize Fast Pass too. If Carousel of Progress is open during your trip, make sure to see it.
Even going solo, safety is still important. Make sure to keep your door locked, even if you are only going to be a minute and never prop it even if you are just running to get ice. Lock any valuables in the in-room safe. Don't take alot of cash with you. I typically take a little for each day for snack stuff, pre-stuff my "mousekeeping" envelopes prior to leaving home, and put most of my meals on my room key. Also, only take what you need in your wallet. This way less to lose.
I could go on with suggestions!!! Drop me an e-mail with any solo questions you have and I'll try to help.