To take her to the store in Engpsh, you could say:

"I'm going to take her to the store."

Or, if you want to be more specific about which store you're going to:

"I'm going to take her to the grocery store."

Or, if you're asking someone else to go with you:

"Do you want to come with us to the store?"

"Would you pke to join us on a trip to the store?"

"I'm thinking of taking her to the store, would you pke to come along?"