Careful planning means thinking ahead about goals and steps and schedules and trusting in God's guidance. When well done, planning can ease worry. By contrast, the worrier is consumed by fear and struggles to trust God. The worrier lets his plans interfere with his relationship with God. Do not let worries about tomorrow affect your relationship with God today.
This means do not be guilty of anxious care about tomorrow. It does not mean you have no thought at all about it, otherwise the farmer would not plow and till and sow. He does think about and plan for tomorrow. Proverbs 21:5 says, "The plans of the diligent lead surely to plenty, but those of everyone who is hasty surely to poverty."
And I think when we are fearful we make hasty decisions. Normally the farmer is looking to the future, but he does not spend all his time wondering and worrying about the end results of his work. He knows if he plants correctly and gets enough water, things will grow.
Instead, he reasonably considers the results and then lets them go. And he has a human faith that the environment's normal processes will yield a crop. Now if he is a Christian, he does not have to worry about that because he knows God is the one who determines all of that.
The whole question is where to draw the line. Where do you draw the line between fruitful planning and fruitless worrying? Thinking is the right thing to do up to a point, but if you go beyond that point, it becomes worry and anxiety and it paralyzes and cripples.