Laid Off, Can I Get ObamaCare?

I’ve just been laid off from my employment of 15 years, and my severance package will expire in March 2015. How do I find out if I qualify for Obamacare coverage for my children and myself?

I am also going through a divorce process – however my spouse does not provide any coverage for us. What is the minimum required insurance coverage(s) that I will need to obtain – medical, dental, vision, life, child life, etc…?

Lastly, what is the timeframe of which I must obtain this coverage by, in order to remain compliant with federal (and state, if applicable) regulations?