Titans' battle and downtime modes
Titans have two modes that they can switch between. They have their battle mode, in which all input and output is focused on their own scale. They have a downtime mode for when they're in their hangars getting repairs, which lets them engage in much tinier movements. It's a bit like how echolocating animals have a broad sweep mode, then once they've locked on to a prey they switch to a fine grained signal.
Humans and non-Titan units can of course choose to regulate our own strength. You can choose to smash something with your fist, and you can pick up an egg or a tiny seed without crushing it. Titans have an increased version of this. When they're stationary they can 'zoom in' with their senses and lock out their maximum strength, letting them safely pick up tiny things (relative to them). Imagine if you could dial down your strength and concentrate your focus so you could pick up an ant without breaking its legs.