Could someone help me with how much research i need to keep up with expansion and also any tips for traits and ethos. And also Min/Maxing minerals and energy.
The number of research labs you need to keep up with growth is, using my rule of thumb, at least three per planet or having one highly specialised research planet per 4 planets. Given the general lack of +% modifiers for research outside of edicts/policies, it's usually better to spread your research out.
At least, that's the way I play it.
I prefer specialised research planets, due to the tech 'improved assist research' giving 10% boost to planetary science output PER LEVEL of the science ship orbitting. So you can get an extra 50% research from a planet, and if specialised... that can give you a lot of extra research.