I've been saying that SEO != Google optimisation for over a decade. Almost nobody listens.
If one has specifically optimised for G - or any single SE - then by nature of each algorithms differences one has probably de-optimised for others. Finding the sweet spot, a general foundational optimisation plus specific optimisations that don't discombobulate one or more others is a matter of trial and error. And needs to be reinvestigated regularly as algos change over time. No one is likely to share such hard found knowledge.
In my experience, Bing referred traffic:
* converts at at least twice Google.
* traffic is at least 6-times more transactional than Google.
* bounces less, visits more pages, and spends more time on site.
* is primarily via IE/Edge so optimising site for same is critical.
Bing: has a somewhat different demographic than Google:
* almost entirely US.
* less tech inclined.
* more blue collar than white.
* mostly over 35 with children.
* pretty much 50/50 split male/female.
That said, speaking generally about Bing:
Note: please note cautionary words, i.e. may, appears; consider the following my opinion only. However, I do get ~15% of total traffic, ~30% of search traffic from Bing :)
* CTR of SERP appears seems to be powerful; if result two gets a higher CTR than position one they tend to reverse, two moves to position one. Therefore both title (to catch eye) and description (to convince searcher) are especially critical.
* user engagement: pogo sticking, where a searcher clicks a result then returns quickly to click another may be a negative metric. On the flip side if they do not return within that time threshold it appears to be positive metric.
* longer content is better. There are indications that this is tied in with SERP CTR and user engagement above.
* Bing appears to weight page and site authority highly, part of which looks to be age of domain.
* backlinks are important but not in the same ways or weightings as with Google. In some ways they are much as Google was years ago, so once again a tricky one to get Bing while keeping Google.
* backlink anchor text appears to be weighted more perhaps because Bing is not as conversant with synonyms. This is a tricky one to get correct as Google tends to devalue/penalise above threshold repetitive anchor text.
* Bing takes your external aka outbound links seriously; if they go to low quality or hazardous sites site rankings will tank.
For more info you might find the following interesting:
* Bing Webmaster Guidelines
* Bing Website Analyzer
* Bing Webmaster Tools Help & How-To Center