How to add a comment/note to each product in basket/shopping chart

Im setting up a shop, where Im going to sell personalized t-shirts for e.g. running, padel, badminton, etc.

When a customer has choosen a design, color and size, I would like the the customer to add the name the customer wants to be printed on the chossen shirt in a note/comment field at the ordered product.

Its not sufficiant to add an overall note to the order, there must be a note to each product.

I would like to go with a native Shopify function if possible, therefore I tried your Method 1:
But in my Settings/Checkout menu I do not have “Line Items Properties”.
Is it Shopify or Theme dependent?