What exactly are we supposed to 'give' to God? It's more than just a feeling.
The psalm directs us to ascribe 'glory and strength' to the LORD. This isn't about God needing anything from us; it's about us rightly recognizing and declaring His inherent qualities.
Glory refers to His radiance, His majesty, His inherent worthiness of honor. Strength points to His power, His might, His absolute authority and dominion.
When we 'give' these to Him, we are confessing that He alone possesses them and that all other supposed sources of glory and strength are ultimately insufficient or false.