Goes like this (in a normal pregnancy):
You also pre-register for the hospital. You can do this at as many hospitals as you want-- all it means is that they send you stickers that you can bring in when you go to the hospital. It does not cost anything and does not obligate you to go to a specific hospital (I registered at three hospitals).
They do all the standard things-- measurements, blood checks, eye drops, shots.
Rooming in is not always offered or available. If it is not, you can sometimes have it anyway by asking or if your roommate agrees.
Private rooms? No, no, no. The number of women per room varies based on the hospital. Also, since I think all of the hospitals are kosher, no need to order kosher food. And you might have to go get it yourself (for example, one of the Jerusalem hospitals has a strict policy about eating only in the ward dining room and not bringing meals back to your room).
Home births: Don't know much about them, but if you have questions I can ask a friend who had one here and get back to you with her responses.
Labor coaches/assistants: Doulas are very popular here. I did not have one. There was a doula who needed a few more births to get her certification, but in the end she did not attend Sesame's birth because it was over chag. More questions about doulas? Let me know and I'll get back to you.
What else? Ask away!