I work with canine rescue. I see the number of dogs dumped onto the shelters when a person's or a family's situation changes. You are 21 days into recovery. That's enough responsibility. Focus on that, and don't make a pet who is dependent on you be part of that recovery.
If you love dogs, volunteer at the local SPCA or city animal management center. That's a great way to get the love of an animal while leaving you flexible enough to deal with whatever comes up in the next couple of years.
Sounds like you will be a great human companion for a dog. However, there is plenty of time to own a dog; just be sure you can give it the most stable environment. For now, work on you!