If you notice an area that your child avoids, try to introduce it slowly, or combine it with something that they enjoy. You can also model how much you like doing the activity. It can be helpful for you to do a portion of a challenging task and then allow them to complete the rest. This affords them the feeling of accomplishment even if the task as a whole is a bit beyond their current skill level. An example of this is tying shoe laces.
Some children are able to complete the first part of the knot.
Other children may enjoy the final tug of the bow. The important part is that the child is involved in a portion of the task. Little by little they do more and more, until they can do it by themselves. The coordinated movement between the eyes and the hands. Having regular experiences holding the scissors and cutting different types of materials will in and of itself improve cutting skills.