Damet..........yes, these store cards affect your credit score just like a regular cc does. I would not close any of them. Generally, it is not a good idea to close cards, unless keeping it is costing you $$.
Of the ones you note, I only have experience with Macys. Use it - and pay the bill. They are good with cli's.
New York Yankees - 2009 World Series Champions. 27... and counting.....