How can i get my 1 year old to eat better?

Ok, so I'm pretty sure it's normal for a 1 year old to spit out there food when they eat and want to play with it and figure out what they're eating, but mine seems to be doing it a lot to me. I am a first time mom so i'm new with the eating routines. my 1 year old girl just turned 1 on june 15 and I'm trying to wean her from nursing but I am getting frustrated with the fact that everything with chunks in it she just spits out and plays with it. I just want to get some advice on how to maybe speed things up or get her used to eating my big people food or even chunkier baby food so i get get her off nursing. Or I'm even just curious when most babies start eating more regularly like an adult or even a two year old i guess. So any advice? Oh yeah and she loves the gerber puffs, yogurt melts, and gerber cheetos.