whenever a card comes up that makes us bid my friends and I immediately hide our tokens until the card is resolved, is this the correct way to bid?

Rulebook, Page 10.

When bidding on each Influence track, players first hide all
their available power tokens behind their player screens.

After bidding for the King’s Court track is completed and the
Messenger Raven awarded, the Clash of Kings Westeros card has
been resolved and the game continues. All remaining Power tokens
are returned to the front of each players’ screen.

Alright thanks