Many games after a few moves I realize that I have played the same hand before...earlier that day or yesterday. Is it possible to get a different hand each time I play?
Repeating games happens to everyone now and again... as you'll find by searching the forum.
You can reach all the Games of the Day, by clicking on the links on the Leader Board. Also, for more games...
Click on the New Game button (on the left, under the Green Felt logo), of any game. Then click on the High Scores button to see if you've played it before. Keep doing this until you get a game you don't have a score on, because you haven't played it. Or just click it five or six times. You should get a game you haven't played, by then.
Alternately, click on the yellow game number of any game. (To the right of Auto Finish.) You can enter any number from 1 to 999999999 then click Enter (on your keyboard) to play that game.