Who will be ideal lawyer to represent my case?

First, I am sorry to hear how you have suffered following the alleged medication error. The situation you describe is the type/kind that is best handled by an experienced plaintiff's medical malpractice attorney. This area of the law is highly specialized and complex, in addition to the complexities of the subject matter itself - healthcare. You should search for lawyers/law firms that specialize in representing plaintiffs in medical and hospital negligence cases, and who have done so for years. Every lawyer has different criteria for accepting a case, so please do not be discouraged if one firm declines you. Keep looking. As well, the Florida Bar has a lawyer referral service that can help connect you with specialists in this field of the law. 

Bear in mind that the time in which to bring such a claim is short, and there are many conditions that must be met to bring a medical malpractice case. Don't delay -- if you suspect medical negligence caused your injury - you should look for a lawyer(s), right away, who will be willing to take on your potential case.