Could you please suggest a newbie about publishing Statistics related papers?

Hello, I am quite new in writing and publishing papers. I have written a few papers, not that tough ones statistically, may be, but well written with properly performed analysis. One paper is on nutritional aspect of the country using a nationally representative data. There I have used a multinomial logistic regression. The other paper is on an application of non-linear PCA.

However, I really need to get these papers published in a good but free journal. I am not able to spend money to publish my works at this moment. I am totally ignorant about how to choose journals and where to send these papers. Could anyone give me any suggestion regarding this? How much time is usually required to get a paper published?