It's easy to get caught up in the ultimate PDA.
With ubiquitous connectivity, and "unlimited" miniaturization, "smart goggles" (contact lenses, retinas, whatever) start becoming very practical.
I think it was a Vernor Vinge book (Fire upon the deep? Maybe? I don't recall -- it's not my idea either way) where your vision was essentially augmented, being able to add to your field of view extra information.
Trival things like imagine you're a sales person, a guy walks in and a little tag floats above his head with his name, a small "sticky" that he was here last 2 weeks ago looking at the Grav Bike 2000, etc. All this because the AI augmented vision remembers what the guy looked like, and the little notes you wanted to keep on him (much of which may have simply been gleaned by the AI monitoring the conversation).
Casinos will more than welcome people with such devices, they just may need to change their games. Casinos today rarely have single deck 21 for a reason, and there isn't a game on the floor that pays fair odds to the player (save craps). Assuming the roulette wheel isn't out of balance, it's a fair game for everyone.
Same with slot machines. The Black Hole of casino gambling. People gamble to gamble. Casinos want to patronize their customers, and are attracted to games that are consistent where the player can't gain an advantage.
I think the next Great Invention will be some kind of "auto cooker" that lets you easily make dishes. Think about the "auto popcorn popper" mode on your microwave, or an intelligent meat thermometer that "knows" what kind of meat it is in, knows how you like it (you told it -- "I like my roast beef medium rare"), and then tells the auto cooker the temperature ranges, and times.
The real key will be as things get more and more general pupose. Look today as cellphones and PDA/address books converge with MP3 players, video cameras, web browsers. Generic Infotainment device limited solely by formfactor.
When we can get towards "robots", the push will be for making those more and more general purpose (RoboRex 1000 -- Now with Auto Cooker! Shops, prepares, cooks, carves and serves meals and will walk the dog afterward.)
Then of course there are the ultimate "personal assistants". Just like a personal secretary for a busy executive today, only automated but with the same interface. As easy as the web may be today to book travel, it's not as easy as "Sally, I have a 9am in New York next Wednsday, book me someplace nice and I need dinner reservations for 4."
There is so much "unsaid" in that conversation that befuddles modern systems and is the night and day between a good experience and a lousy one.
Personal Mechanical labor ("Honey, get me a beer!"), and simplification of busy work are what folks want.