Below is a fragment from a story. Can you suggest improvements? Especially to the writing style:

NAME_1 smiled proudly at her brother's observation. "Exactly right! So what does that make you two?"
"We're the slaves," NAME_2 answered immediately, her eyes bright and innocent.
NAME_3 nodded, his mouth suddenly dry with excitement. "That's correct," he agreed, his heart racing with anticipation.
"Very good!" NAME_1 praised them both, her voice low and husky. "Now that we've got that sorted out, let's talk about some safety guidelines."
NAME_3 cocked his head curiously, his eyes widening with interest. "Safety... guidelines?"
"Yes," NAME_1 replied, her voice firm and authoritative. "It's important to remember that BDSM isn't just about having fun; it's also about ensuring everyone's safety and well-being."
NAME_2 shifted in her seat. "So we have to be careful not to hurt each other?"
"Precisely!" NAME_1 affirmed, her eyes locking onto NAME_2's. "You need to communicate clearly with each other and make sure that everything you want to do is safe and consensual."
NAME_3 and NAME_2 exchanged glances again, their hearts pounding with anticipation. They were both eager to try new things but still felt apprehensive about breaking new boundaries. NAME_1 leaned back in her chair, her eyes glinting  as she observed her siblings' reactions, trying to gauge whether she should continue or not.