Hey Diane,
Google will rarely penalize a site for it's inbound links. Otherwise it would be too easy for black hat SEO's to get their competitors penalized out of the SERPs. So it is unlikely that the free article sites will damage your SEO reputation.
But it may damage your reputation with Humans, the reputation that counts. Your articles should help to establish your position as an expert in your line of business, sounding like a 2 year old probably doesn't help.
Best thing is to get in contact with reputable blogs or sites in your niche and see if they will run your articles. Or else put the articles on your own site and promote them there to build your traffic up.
Outspoken Media has a good article on promoting your own content, should you be interested:
http://outspokenmedia.com/online-marketing/how-to-promote-good-content/