Beginner proper cameras?

I'd like to move past point and shoot cameras and start learning how to use something better to a better potential.

I'm looking at not necessarily DSLR's but other interchangeable lens cameras as well.

Any suggestions?

I've been looking at SONY's NEX series and the a3000 and Nikon's d3100 etc as well as those retro looking Fuji systems. Also, do you have to shell out loads on separate lenses other than the kit lens? because I'm not looking to get into hardcore photography but I'd just like to be a better photo-taker and know the basics.