From what I have experienced:
A bit easier to find a job, but most jobs available are in Nursing Homes and includes LOTS of cleaning crap, diapers, dealing with families, etc.
You have choices on where you can work. There are psych units, LTACs, Hospice, Home Health, Hospitals, as well as the dreaded LTC.
Unless you are in a good area, makes less than the top pay for a CNA. However, you make up for it with insane hours. You have much more autonomy than a CNA. You only have the paramedic to order you around and another boss you infrequently see. A floor CNA has the nurses, admins, families, even nosy co-workers "watching".
EMTs never change diapers. Though, you will see blood and gore.
EMTs almost exclusively work on ambulances, although I have known some get tech jobs in an ER with experience. Some cities may only have one or two companies that hire EMTs over a geographic area.