Biggest tip I can give you to get better (as an overall player) is to CS better. I know EVERYONE says this, and it's extremely vague, but let me go a little more in depth on this for you so you understand it better and so the advice ACTUALLY helps you out.
10 CS at 10 minutes is horrible, everyone knows (or should know) this. Getting better at CS involves increasing the number of CS you get over time; however, what you're not told, is that getting better at CS does NOT mean getting every CS. The complicated dance that is laning involves more than just CS'ing, it involves harassing, dealing with incoming harass, zoning, being zoned, ganks etc. What does this all have to do with getting better at CS? Good question.
Getting better at CS isn't JUST nailing every single minion that walks into lane. This is, of course, a great goal to shoot for, but truly getting better at CS'ing also involves knowing which minions you SHOULD NOT try to CS.
As an example, if you're laning against akali, and she hits you with her Q and drops her shroud on the minion wave, it's probably better that you let those two juicy minions die on their own. Otherwise, you'll likely get the two minions, but you'll take 2 Q's and 2 Q'd auto's worth of damage from Akali to get them, which is NOT worth.
If however, you're against a Garen, and he's in a bush, you should ignore the Garen and CS away, moving to kiting the Garen the instant he comes out of the bush. Please note that, if the Garen sits in the bush for extended periods of time, you should probably throw a skillshot/AoE thing/ward it and auto him so his Passive doesn't keep his HP topped off.
After you get good at actually landing last hits, work on getting more last hits, then work on figuring out which last hits you SHOULDN'T get, then work on harassing the enemy between last hits... continue adding new things on constantly and you'll get better.
Sorry I couldn't give any advice for the mechanics adjustment you're subjecting yourself to, I'm playing on my current "fits me" setup of q,w,e,r being on a,s,d,f, and my summoners on e,r, and I've been playing like that since back in Season 2ish.
Best of luck <3