A lot of good advice here.
You can't file for workman's comp because you weren't hurt on the job and there is an easy way of them knowing that.
You can probably file for unemployment, although the employer can fight you for it. Most of the time they don't, but I've seen it happen where they do and WIN even after firing you.
Depending on how long you had insurance with them, you should be eligible for Cobra for X amt of time or when you get new insurance (which ever comes first). You will still have to pay for it, but it's insurance nonetheless.
The first place I'd go to is across the street at the competition. It will be easier for you to pick up and go at the competitor's place than it is to totally switch carreer paths. Besides, if you completely switch carreers they are more likely to scrutinize your resume, i.e. you'll run into reference issues possibly. I wouldn't necessarily volunteer how all this went down to a new prospective employer, but if asked you should be honest to avoid problems.
Good luck.