Keep it simple with white linens
Look for patterned pillows with your yellow and pink present
And find a rug that can "wow" the floor area

Hmm.. I thought the black looked great! But when you have white furniture, stick with white for the larger things and bright neon colored for the little things, mainly pink and yellow. Keep this rule in mind: no black at all when using white, or the other way around. This way the colors keep their strength (hope this makes sense to you).
Could you post a picture of the room with the white furniture in it? And are you painting that window white too?

Here's an ideabook on neon colors: https://www.houzz.com/magazine/color-guide-how-to-work-with-neon-brights-stsetivw-vs~5770743

I suppose how you proceed would depend on whether you wish the fabrics and rug to add to the wow factor, tone it down, or build upon it. I would suggest selecting a main pattern like the larger one in this photo and gently add accents, like the pillow patterns shown. The main pattern selection is going to allow you a bit of expansion in the color palette. Hope this helps!

That fabric does a wonderful job of tying the room together!

I think adding some gold metal will tie it all together.

Carolins, I'd gladly ignore the 'no black in a white setting' rule for those pillows!

Rinqreation: yeah, they are gorgeous aren't they? If you follow the link to PBteen you'll never think about 'no black in a white setting' the same again ;-)