
der Griff
handle
The part of an object that is made for holding or operating it with your hand.
Der Griff der Kaffeetasse ist abgebrochen.
The handle of the coffee cup broke off.
handle / grip
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handle
The part of an object that is made for holding or operating it with your hand.
Der Griff der Kaffeetasse ist abgebrochen.
The handle of the coffee cup broke off.

to have under control
To have a situation or task under control and be able to manage it.
Keine Sorge, die Projektleiterin hat alles fest im Griff.
Don't worry, the project manager has everything firmly under control.

grip / grab
The act of grabbing or holding on to something.
Mit einem schnellen Griff fing er den fallenden Schlüssel.
With a quick grab, he caught the falling key.

to get under control
To successfully bring a difficult situation or problem under control.
Wir müssen unsere Ausgaben schnell wieder in den Griff bekommen.
We need to get our expenses back under control quickly.

hold / grip
A specific technique or maneuver, especially in combat sports such as wrestling or judo.
Der Judoka setzte einen speziellen Griff an, um seinen Gegner zu Boden zu bringen.
The judoka applied a special hold to bring his opponent to the ground.
'Der Griff' is the noun related to the verb 'greifen' (to grab, to grasp). It describes either the act of grabbing itself or the part of an object that you grab.
Er konnte nach dem Seil greifen und sich festhalten.
He was able to grab the rope and hold on.
There are two very similar expressions: 'etwas im Griff haben' (dative) describes a state of control. 'Etwas in den Griff bekommen' (accusative) describes the process of gaining control.
Die neue Managerin hat die Abteilung gut im Griff.
The new manager has the department well under control.
As part of an object, 'Griff' is often connected with the object in the genitive or with 'von': 'der Griff der Tür' (the handle of the door), 'der Griff des Koffers' (the handle of the suitcase), or 'der Griff von einer Tasse' (the handle of a cup).
Der Griff von meinem Regenschirm ist locker.
The handle of my umbrella is loose.
When 'Griff' describes the act of grabbing, it is often preceded by an adjective that describes the type of movement, e.g. 'ein schneller Griff' (a quick grab), 'ein fester Griff' (a firm grip), or 'ein gezielter Griff' (a targeted grab).
Mit einem gezielten Griff holte sie das Buch aus dem Regal.
With one precise grab, she took the book from the shelf.
The meaning 'spezielle Technik' (special technique) is mainly used in combat sports such as judo, wrestling, or self-defense. People talk about 'einen Griff anzusetzen' (to apply a hold) or 'sich aus einem Griff zu befreien' (to free oneself from a hold).
Im Judokurs lernte sie, wie man sich aus einem festen Griff befreit.
In the judo course, she learned how to free herself from a firm hold.
hand
In der Hand haben and im Griff haben can both express control. In der Hand haben tends to emphasize power or decision-making authority. Im Griff haben tends to mean practically managing and mastering a situation or task. The fixed prepositions must not be switched.

Als Leiterin hat sie auch die schwierige Aufgabe gut im Griff.
As the manager, she also has the difficult task well under control.
Als Leiterin hat sie alle wichtigen Entscheidungen in der Hand.
As the manager, she has all the important decisions in her hands.