I think everyone wants their website getting indexed with google more than other search engines and web master of websites always try to work to get better results in Google only.. Its not easy to get indexed well and get good SERP but only google is the SE where all work more then other SE.
For new sites initially Then the ranking will fluctuate with the rest of the sites.. you still need good amount of links to backup your consistent SERP.
Dear if you do properly .. it is easy.... each day you can see SERP is increasing... But the thing is 1 Build link with relevent sites PR doenst matter 2 Do limited DIR submission 3 Write articles DONT DO LINK EXCHNAGE YOUR HEALTH WITH FINANCE SITE.. Then google never mind....
Also you will find it is easier to get listed in other search engine once you're there in google so google should be always first priority.
It's all down to the links - get trusted/relevant links and you'll rank in all 3 of the major search engines.