easy borders round images question PLEASE HELP (its doing my head in)

hi should be simple. I want to make a gif with a transparent background without a horrible white border round it that make it look like i cut it out with a pair of scissors ....must be easy...my Photoshop is in Spanish so that doesn't help much...any help greatly appreciated as its driving me crazy...thanks.

Photoshop is a pixel-based image editing program so every pixel must be populated with a color. To obtain the effect of a curved border, it is necessary to blend the two colors on the edges to some extent. Saving the image as a transparent gif kills most of the blending that Photoshop does and thus you get the ugly border. The only real way to get around this is unfortunately to make the image have a background color. You may have to do several identical images with different background colors to achieve what you want to.

One of the unfortunate limitations of Photoshop.

If it works for your purposes, I'd suggest saving the image in png format, rather than gif. Transparencies work better in png.