Gif Problem

I am having an issue with the rendering of my gif project when posting it to the web. My gif seems to work well when its normal size but when a common social network site resizes my gif for my profile picture it becomes all messed up. Any ideas on what I might be doing wrong?

Here is the original:

Here is the result from the site:

Thanks for any help as I am a newbie to photoshop ;)

some sites limit the size (number of megapixls) allowed for a personal giff, check the site for rules such as these