Avoid freelance marketplace websites! They're a race to the bottom, where you're competing against people in the third world who work for peanuts, for clients who expect to pay peanuts.
$2k in 3 months, at 2 hours a day. Lets say you need 50% of that time to hustle up clients, so you have 254=40 hours a month, or 120 hours total (and you don't even have to work weekends). 60 billable hours, so you'll need to charge 2000/60= $33 an hour to make your goal which is far below what any professional developer should be charging (assuming you're in the US).
One good client should be enough. The hard part will be finding that client. Go to your local meetups, user groups, cold email intros to local agencies (agencies are great for overflow work), local startups who have an iPhone app but not an Android app, etc. Have coffee, pick up a few lunch tabs, establish good relationships. Relentlessly follow up and ask for projects. Don't underprice. Whatever you think is reasonable, double it and practice saying it with a straight face in the mirror.
