https://ruggable.com/collections/disney-rugs

https://ruggable.com/collections/kids-rugs

These are washable rugs designed with kids/pets in mind and themed for the youngsters too. I see several that you might like at these links. I have one in the "Kid's Kave" at the vacation rental I manage and it is great!

How whimsical are you? ;-)

Pink Flower Shaped Rug (bottom)

What size rug would you prefer?

Here's a sweet 5 x 8.

https://www.wayfair.com/Harriet-Bee--Gosselin-Floral-Handmade-Tufted-PinkGreen-Area-Rug-TGL432B3-L167-K~W001566941.html?refid=GX386284667671-W001566941_598468054&device=m&ptid=823065156600&network=g&targetid=pla-823065156600&channel=GooglePLA&ireid=7817803&fdid=1817&PiID%5B%5D=598468054&gclid=Cj0KCQjw_ez2BRCyARIsAJfg-kt-zcVQjJ4Bp_62o8n_pz827IjTT9FJ2eZuGRU4kfTFL1UtwlKCMQYaApK-EALw_wcB

I personally don't think you need a rug on the carpet. I live your colors. I would add some artwork on the walls and pull the chair out of the corner more.

Love the wall color. No rug on rug, tripping hazard especially holding a baby. Art on the walls and you're done.

A rug will anchor your furnishings and tie it all together. Here are some sweet nursery art ideas to soften things up:

http://www.overstockrugsonline.com/oriental-pink-paris-white-silken-modern-6x6-round-rug.html

https://www.thriftybrittany.com/nursery-wall-art/