Introducing lumps!

My girl has been on blended purees for about a month now and loves it, everything from her oatmeal to spinach and peas. I want to start introducing lumps to get her used to different textures but im not sure how to go about it. I tried a bit of mashed carrot (instead of blended) and she just spat the little lumps out and gagged. Its been a few days so i want to try again, anyone any suggestions?