What camera should i be looking to get?

I've had a kodak share since 2005 & i'm ready to buy a new one. Not to have something newer but cause the zoom seems to make things blurry & just cause pics don't seem as good in looking at them when brought up on computer.so, think its time for a new one, question is. What one!

i know i want a nikon or cannon.$300.00 is about the price i'm willing to pay.
most pics i see on social media networks look great from that person(s)cell phone. But i'm wanting same thing but from a camera!

ok, thanks in advance. Hope to get some knowledge so when i go to the store i have an idea for when the sales person ask me, or tells me their knowledge.

figured couldnt hurt to see what answers has to say first!

I just bought a nikon s3300 to keep in my purse. I like it. Very small, ok in low light, hd video, 16mp, vivid colors. 100.00 on sale. I also have a canon G10, but it's too heavy to keep in my purse and it was getting beat up.