UV size for hair particle


I have modelled a giraffe and I have made the seams and was going to export the image to paint on when i had a question pop into my head.

What size should I export my image to since I am also planning to use fur particles?

Does it matter what size it is if it is going to be covered with hair?

I was thinking 1024x1024 - does this seem too big? it is going to be used in a scene.

If any one can explain this to me - thanks heaps

This is not my model but this an idea of what I am trying to aim for…