I'm specifically having trouble with Lux, Teemo and Malzahar. However, any champion with a CC, or just as much/more range than I, is very difficult. Teemo's Q seems to have just as much range as mine (and it hurts a lot). If Lux can chunk down my health even a little bit, the first snare she lands on me she will E, autto attack, ultimate and ignite and I'm dead. I will say, though, my first time against Malzahar I had never faced him before so I got completely stomped on by his faceroll ultimate a few times, but the next game I faced him I held my turret and didn't let him kill me (although he out cs'd me).
I almost always get out-cs'd in lane. The only way for me to keep up in CS is to use my Q often, but that results in me running OOM quite quickly and having to back a lot, allowing who I'm laning against to slowly chunk my turret. It might just be because I'm terrible at last-hitting, but I find enemy champions tend to play agressive towards me and try to shut down my CS by not letting me near their minions. I try to chunk them down to push them back but sometimes instead of retreating they'll just chunk right back.
I'm sure a big part of my problem is just getting outplayed >.> I'm level 28 with about 130 wins queueing up with level 30's ranging from 300-800 wins. Perhaps I'm just playing out of my leage.
Thanks for the advice, I'll try your tips next game!