Practical strategy notes grounded in OUT³'s actual rules - not generic card-game advice.
A Dynasty set needs three matching cards, and a Wild Dynasty card can cover one of them - so holding a Wild early is often worth more as flexible insurance across several dynasties than committing it to the first partial set you draw into. Once you do commit a Wild, remember it stays in that set until a later turn's separate relocation move, so commit it to the dynasty you're most likely to actually complete.
Dynasty and Resource cards are free to lay down, so they rarely compete with your other two plays for the turn - lay them down as soon as it's safe to. Action and Military cards cost resources, so track what a card in your hand will need before you're forced to choose between playing it and holding the exchange option (three of a kind for one resource of your choice) in reserve for a turn you actually need it.
You can declare only one attack per turn, and it costs one of your three plays - so an attack competes directly with laying down the Dynasty or Resource card that might otherwise win you the game. Attacking is strongest when your opponent is close to completing a Dynasty set and you have Military already on the table from an earlier turn, since deploying Military the same turn you want to attack isn't possible - that card has to already be there.
Playing a third natural card onto an already-complete 3/3 set to make it 4/3 still costs a full move, so it's only worth doing when the extra card itself matters - for example, to protect against losing the set to an opponent's Emperor Aurangzeb, who can steal an entire completed set (Wild included) when his effect resolves. Relocating a Wild out of a 4/3 set is a second, separate move, and it's never legal the same turn as the natural card that created the 4/3 - plan the relocation for a later turn, not the same one.
Ready to put these into practice?