At the firm I worked for you would not need paralegal training as such. They would teach you all that. My daughter is also a nurse and wanted to look into it, but I discouraged her. That's her personality and not yours. Yes, when you are gearing up for trial the hours are VERY long - can go all night. And whoever said it is right - lawyers can be - well - lawyers.
You might make inquiries of firms. Obviously medical malpractice and insurance (either side) are where you want to be. It sounds silly, but look in the phone book and read the ads. Let me know if I can be of any help. (BTW I was a paralegal in real estate, pension and employee benefits - no medical stsuff, although what little exposure I had to it I liked.) At some firms paralegals make very good money and at others it's barely minimum wage.