What happens to credit score if you close a store credit card?

I have some store credit cards (Macy’s, the Republic of banana, etc) next to a major credit card. I want a part of the store credit card blocking, but I do not know how that effects my credit rating. I think that closing credit generally lowers the credit score, but how those store cards?
Need advice on how to close out equity loan?
Have mortage loan at 100K (currently 1/3rd below value of home) Took out a 50K equity loan 3 years ago (needed for emergency reasons) – originally paid monthly interest around $175.00 but over time has jumped to nearly $400 just interest. This is killing me to pay each month for last 2 years. Credit rating is slightly mid-average and my income does not qualify me to merge both morgage and equity balances. I would appreciate any advice on what options I have, I am at a lost what to do.