Hello Claudia, Welcome to Talkgraphics
I see from your profile you are using Designer Pro X, DPX has a wonderful shape builder and eraser tool that you can use to create a very natural looking fur effect. I have attached a step by step tutorial in .xar format that you can download and take apart the vector art as well as follow my steps. In this tutorial I have done an ear but it should give you the idea of how to do the rest of the animal.
drawing fur with the Shapebuilder tool.xar
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