I just wonder whether there is anything SEO wise I should be doing for other search engines. Or is everything we do for Google enough for Bing?
If you focus on getting high quality contextual links from blogs, you will find they work very well for both Google and Bing. Bing actually credits social signals for ranking too. So get the page Tweeted and Shared on Facebook. If you want to rank in Google over the long run, then skip the spam. Bing is much more forgiving with spam than Google is in my experience.
And yes, for SEO, I typically forget about Bing. More times than not, if I am using contextual blog links, Bing will end up ranking my page number one before Google does. You still won't get much traffic from Bing though, at least not usually.