I must also confess, I like solitaire, too! Hoyle put out a great computer version with at least a dozen variations on the game. I've also played Klondike on a regular basis.

I've noticed I seem to win, or at least get closer, when I uncover cards from the stacks on the table (or the screen!) before removing them from the deck. By removing these stacks, I'll provide space for those pesky Kings, when one is turned over. I also try to be sure I've done every possible move before turning over more cards. I keep the stacks on the aces as even as possible. If you get too far ahead with one suit, it could foul up your ability to get a lower card of another suit out of the deck or other stacks.

Klondike gives you points when cards are put up on the aces, but you'll get more points if you can first place the card on a stack and THEN move it onto the aces.