Part of the magic of a Disney trip is that it varies so much with who you go with and, as you'll find out, how old they are. When you start regularly taking your kids, you'll find their interests will change every time you go. One year it might be meeting the characters, the next getting signatures in books, then rides, etc. When mine were the age yours are, they were more interested in the hotel pool...but it was still a great trip.
This also applies to a solo trip. While most of my trips have been with family, I've been able to do a solo trip most every year for the past 10 or so. I won't say I get the same satisfaction out of it, but its still a very enjoyable experience. The best thing is you can work with any kind of schedule that YOU want. If you feel like getting up early and making a rope drop, there's no one to slow you down. If you'd rather sleep in, you can do that. The attractions you visit are those that you like. Skip the ones you don't.
As far as ADR's go, I generally have not done them, but I wouldn't discourage you from making them, if you wish. Personally, when I do a solo trip, I try to do it on the cheap, so I'll pretty much stick to counter service or offsite. (I do like to have a car). I tend to disagree with a previous poster that indicated that its tougher to get an ADR as a 1, rather than a 2. I would think the inventory of tables for 1 would be the same as tables for 2 (much like tables for 3 is the same as tables for 4).
I encourage you to go for it...it'll be a lot of fun!