A promising path would be to self-teach as much as possible and then apply for an MS program in bioinformatics or something similar.
Apart from the usual advice for teaching yourself programming, you can practice bioinformatic-specific skills at the wonderful Rosalind Project [0].
[0] http://rosalind.info/about/
You already know some biology, so you can probably say more about that side of the equation.
A promising path would be to self-teach as much as possible and then apply for an MS program in bioinformatics or something similar.
Apart from the usual advice for teaching yourself programming, you can practice bioinformatic-specific skills at the wonderful Rosalind Project [0].
[0] http://rosalind.info/about/