Deleting lines or paths but keeping fill

[M_Gibb]

Hi all. Fairly new to illusrtrator and this question may have been asked elsewhere but can't seem to find a solution. 

I have a image I drew in photoship and have used image trace and have filled the different sections. But now I want to delete these black lines, but keep the fill . I can make these lines transparent, but then there are gaps between the fills. Is there a easy way I'm missing to join these up?

Screenshots attached. 

[Ton Frederiks]

Image trace creates fills that look like strokes.

There is no simple way to convert strokes to fills.

You mentioned that you drew this in Photoshop, next time it would be better to draw this in Illustrator.