How to Switch to Marketplace Coverage After Employer Coverage?

Hello, my wife is about to have our second child. we currently have health coverage through my employer, and will through the birth of the baby. we will be moving to Maine (04097), from Colorado (81615), in mid June and our coverage will no longer be available since we will be both be leaving our current employers. Assuming that we do not have work lined up (and health benefits through our employment), we are interested in the obamacare program since the gold level is approximately 50% of the cost of going to a COBRA program from my employer. We have a 3 year old who will be 4 in august. I am 38, and my wife is 32. I went through the initial screening to see if we may qualify for a marketplace application even though the window has passed for 2014, and it did say that we would most likely qualify. What would our next steps be (knowing when our employment will end), and how long will it take to get our coverage to kick in?