Vix my DS was born at 31+5, and I was in hospital for 3 weeks before he arrived.
In my case, I stayed on postnatal for 3 nights after the birth (thankfully they gave me a private room, no way I would have coped otherwise), then I was discharged, while DS remained in SCBU for another 2 weeks. I visited every day between 7am and 7pm as a general rule (hospital was a 30 min bus ride from home). If the hospital is a long way from your home, they can usually accommodate you, either in a parents room on SCBU if available, or some hospitals have Ronald McDonald housing for parents of children in the hospital who live too far away to go home every night.
Ask if you can have a tour of SCBU in advance, and speak to the doctors / nurses - they will be able to give you a better idea of what to expect, potentially.
You will absolutely have a chance to breastfeed - ask for help from the infant feeding specialist. Start by hand expressing to get colostrum (again, get someone to show you how to do this if you don't know how), then you should have use of hospital grade pumps on SCBU, and maybe even the chance to borrow one for home too.
At 33+ weeks, having already had the steroid injections, baby should be in a great place - hopefully just needing to gain weight, learn how to feed and maintain temperature. Sometimes they can be a little jaundiced, and depending how much, they can be given light therapy.
Sorry that I can't shed any light on your particular circumstance, but I promise you, if baby does come early, you will manage. Don't be afraid to ask for help/support if you need it (I needed counselling after DS' birth, which I was helped to get by a very intuitive neonatal nurse who recognised that I wasn't coping), keep asking questions.
Hope baby manages to keep cooking for a while longer yet 