@Kelsiepattinson - I have on my blog what I believe you want on yours. (http://imaprile.com) But, you can't use an image widget. Instead use a 'Text Widget' as raincoaster mentioned.
First, find the icons for the various social sites you want to link your visitors to. You can do this simply by doing a 'google image' search for each item. I found some great ones on this site: http://webdesignledger.com/freebies/the-best-social-media-icons-all-in-one-place. Once you find the images you want, you can keep them as they are, (make sure they're relatively small) or you can edit them using a photo editor, i.e.: Microsoft Office Picture Manager, Picnik.com, Fotoflexer.com, etc. After they all look they way you want and are the same size, upload all of them into your media gallery within your blog's dashboard. It will give you a URL for each file. Copy it. (don't forget to save all changes/update) Once you have your URL for the images you want to link from your media gallery, you're almost done... I've attached the EXACT code I use. You will need to replace <i>YOUR</i> URL codes where mine are and change the various "img titles" to whatever YOU want them to say when your visitors hover over the image. Of course, you'll also need to change out the various "href" to the links you want your visitors to go to, i.e. Twitter.
COPY IT EXACTLY and paste it into a text widget. After you make the necessary changes to YOUR info, voila... you have a bar similar to mine. Before yesterday, my media bar was in a uniform row, like you mentioned. However, I decided to change mine to the bigger icons for personal reasons. The code below will put an even space in-between each icon. Good luck, and let me know if you have any questions!
<div style="text-align:center;"><a href="http://twitter.com/imaprile"><img title="Tweet Me @ImAprilE!" SRC="http://imaprile.files.wordpress.com/2010/07/twitter-2.png" /></a><a href="http://youtube.com/eldridgeapril"><img title="Check Out My Videos" SRC="http://imaprile.files.wordpress.com/2010/07/youtube.png" /></a><a href="http://www.flickr.com/photos/imaprile/"><img title="Who Knows What I'll Snap Next!" SRC="http://imaprile.files.wordpress.com/2010/07/flickr.png"></a><a href="http://imaprile.com/feed"><img title="My RSS Feed" SRC="http://imaprile.files.wordpress.com/2010/07/rss-feed.png" /></a><a href="mailto:firstname.lastname@example.org"><img title="Email: ImAprilE" SRC="http://imaprile.files.wordpress.com/2010/07/gmail.png" /></a>