I think both ads network would be fine because Google ads and Chitika are popular and trustful for generating revenue online.
Ya you can use chitika or kontera with adsense but it is better you stick to one publishers on one page i.e ads blocks(adsense) or text in ads (chitika or kontera). Otherwise you may kill your CTR.
Maybe you should focus some of the blog for Adsense, and several special blog for Chitika. It would be better, in my opinion.
I use Kontera (basically like Chakita) with Adsense on many of my sites and have able to earn from both. But as somebody already mentioned, make sure your Chatika or other Ad links don't interfere with Adsense. ... Or your earnings may suffer.