If you go for a hospital job, be sure to ask how long the orientation is, what kind of support you will have, etc. Make sure there will be a nurse educator to ask questions of in the beginning. If they tell you you'll only get a 3-week orientation and there's no nurse educator or even supervisor to help you out, think long and hard about that job. At least in my opinion!
LTC would definitely make you get really good at time management!
And I have found LTC nurses in general to be a helpful bunch. Also consider a sub-acute rehab facility. I would avoid the for-profit sub-acutes, because their patient loads tend to be heavier than non-profits.
I'm not a big fan of home care for someone who isn't confident, not right out of school, at least. While it is true you will have phone access to a supervisor, you really do need to be able to think on your feet, have great assessment skills, trust your judgment, etc. If a home care job entailed working one-on-one with another home care nurse for a decent orientation period, that would be a better situation. But NOT if they are going to quickly send you out on your own. An alternative, if you are interested in home care, is working with just one patient for an 8 or 12-hour shift. Then you can get to know that one patient very well. But remember that someone who needs one-on-one nursing care is going to be pretty sick!
Try not to be so hard on yourself. Everyone is a newbie at first and everyone is slow and everyone makes errors.
Good luck. Just concentrate on passing NCLEX right now. With your license in hand, you will look more interesting than a candidate who has not yet passed the test.