Hi Mate firstly make sure you have good lighting and magnification. I mainly use brass tweezers they are softer to use. For very small fiddly screws and parts I use sharpe dressed steel tweezers just don’t use to much pressure when using them. Another thing that some watchmakers do is to drop the screw into its seat then hold the screwdriver shaft with the tweezers as they tighten the screw. Rodico is also helpful picking up small screws and parts. Hope this is helpful. Just practice on some old movements or pocket watches to get the feel of things.
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