Draw 1 gives you more access to the stock, so the main skill is choosing which tableau reveal to pursue first. Draw 1 gives you more access to the stock, so the best players turn that access into faster tableau reveals.
Use Draw 1 as an information game: check the tableau first, use the stock to support reveals, then avoid filling space without a purpose.
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1
Check the Tableau Before Every Draw
Because every stock card is reachable in Draw 1, it is easy to draw too quickly and miss a stronger board move.
Scan all seven tableau columns before touching the stock.
Move cards that uncover hidden tableau cards before making cosmetic sequence moves.
If a tableau move and stock move are both available, favor the one that reveals more information.
2
Use Stock Cards to Open Columns
The stock is most valuable when it helps expose hidden cards or clears the way for a useful King.
Create landing spots for stock cards that can move cards out of deep columns.
Do not burn through the stock just because the next card is playable.
Remember useful stock cards so you can prepare the tableau before they appear again.
3
Protect Empty Columns
Draw 1 is forgiving, but an empty column is still one of the few tools that can reorganize a locked tableau.
Move a King into an empty column only when it helps reveal cards or creates a long useful sequence.
Avoid parking a lone King in a column if a better King-led run may appear soon.
When a column opens, pause and inspect the whole board before filling it.