Gee, before baby is 'cooked' sounds like the perfect time to be dealing with this stuff! Leave those last few weeks to nesting urges and positive birthing affirmations
Uncertainty will stress you unnecessarily, a support person for you is a great idea. Having your support person lined up well in advance is imperative, she needs to know what your hopes are for this birth.
What makes you think your labour will slow once you reach the hospital? I get not wanting to leave the transfer too late (hey, no-one wants to birth in the hospital foyer :vomit ) but if you wait till well into 2nd stage what are you thinking will happen when you get there?