Sounds like you are talking about image borders. This example shows how to remove them using CSS (a topic that is invaluable if you plan on doing any sort of serious web work):
<html>
<head>
<style type="text/css">
img
{
border-style: none;
}
</style>
</head>
<body>
<a href="http://www.google.com/"><img src="img.png" /></a>
</body>
</html>
FYI, there are many websites that allow you to upload images. PhotoBucket is one of them. Also, you never posted any code. Next time you ask a question here, post some code that demonstrates the problem and you'll get a much quicker response.