I've changed this to a Forum, as I think it fits better than a question since there isn't going to be a single correct answer.
My feeling about bioinformatics, and programming in general, is that you first and foremost need a problem you want to solve. It is not easy to just sit down in front of a computer and code for the sake of coding.
I don't think your age matters, especially if you're a fairly quick learner. Here are the steps I might take if I were in your position:
1. Learn some practical coding basics.
You can look at resources like Project Rosalind which will teach you the basics. You can learn about file formats and data representations, and also begin to master a programming language. You've tagged the post with Python, which I would strongly advise as a first programming language for the field.
...or...
You can dive in at the deep end. If you have a problem in mind you want to solve, start breaking it down in to its conceptual components and get stuck in writing something to achieve that particular peice of logic.
2. Think of a biological quesion.
It sounds to me like you plan to continue self-studying, rather than lookinf to join a research group or similar. If that's the case, you need to have a biological question you want to answer. Bioinformatics is a tool, but it isn't really the question.
3. Find some data
This is the tricky bit to my mind. Though I've listed it as 3, its probably on par with point 2. If you have a question, you need some data (and the right data) to help you probe the theory. What data you can and cannot use will both influence, and be influenced by, the question.
As a 'lone' researcher, you will be limited to public datasets. While this isn't itself an issue, since there's lots out there, it does mean that you cannot guarantee the data hasn't already been mined for your question. I'm guessing your physical resources such as computing power are going to be limited too, so you might need to be clever with what you want to do. Analysing terabytes of metagenomic data is likely out of your reach at the moment for instance.
4. Get stuck in
If you've got all the above, just dive in and start exploring the data! You will learn the most by doing.
I am going to suggest that you sit down and do a "risk analysis". Talk with your peers/friends people you trust/respect. While it is good to supplement your experimental knowledge with informatics (and perhaps long term think about switching to it) a drastic about turn may be risky to try at this stage. Do you have a family that you need to support (and in turn have support to do this from)? That should always be factored into any decision you make.
In any case do things gradually so you have an option to turn around and go back, if you must.
This is a good piece of advice :) genomax! No, I'm not planning to solely turn in to the new subject. Just trying to learn the techniques to analyze my own data!
Then you are on the right track. Remember to have fun while you learn. Good luck!