https://www.houzz.com/photos/query/nursery-roman-shades/nqrwns

Look at this link for inspiration.

If you don't want roman shades, you can just do draperies to the floor. The baseboard heater is fine there. All my drapes cover my baseboard heat, and your heater is only under the window. I usually place my rods halfway between the ceiling and the top of the window trim. If buying ready made drapes that are either 84, or 96, you can use rings and drapery hooks on the 84 length, to add more length, and place rod accordingly so that the drapes are just shy of touching the floor. In terms of where you would place the rod brackets, I usually go 3-4 inches outside the outer edge of the window trim. If your curtains are not that full, go 2-3 inches away. You want the leading edge of the drapes to just come to the glass and not obstruct the view.

I think Roman shades or plantation shutters would work on that window.

Any type of shade or blind would be vastly preferable to drapes. Drapes take up more space, and once your baby is crawling, they will be in the way even more. You can use a patterned roll down blind, roman shades, or plantation shutters. The ones you have look fine - but add a high mounted cord holder so the cord isn't dangling down.