Anonymous Site submission - You will just submit your site and will not know any further information.
Using Bing Webmaster Tools – You will know the crawling errors and have many other options to optimize your site for Bing Search Engine. Both Yahoo and Bing Search use a common Bing search engine; hence you can pull traffic from Yahoo and Bing by submitting your site to Bing Search Engine.
Bing and Yahoo! together hold over 30% of the search engine market share in English speaking countries. Bing also has partnered with Baidu, the famous search engine in China, for displaying English search results.
Option1: Submit Your Site to Bing as anonymous
You can also submit your site to Bing as anonymous without registering for Webmaster Tools account. The only difference is you may not be able to avail other free services from Bing if you choose this option.
Click here to submit your site to Bing.
Once submitted you will be shown a message for successful submission and offered to sign in for Bing WMT account.
Option2: Submit using Bing Webmaster Tools
You need to sign up for Bing Webmaster Tools or you can use your Windows Live ID if you already have one Signup here.
After logged inside Webmaster Tools, you can use "Add a Site" link to submit your site to Bing. Once you add your site then you need to verify the ownership of your site. Bing offers three methods to verify your site.
Place an XML file on your web server
Copy and Paste a <meta> tag in your default webpage
Add CNAME record to DNS
As an easy method, you can choose the second one, copy and paste the code in meta tag of your home page. It may take a few days for Bing to crawl and index your site in the database.
Bing also offers various other features like SEO Reports, SEO Analyzer, Markup Validator, Site Activities and Sitemap submission.
Learn More about Bing Webmaster Tools here.