Hot water is always better than warm for shaving, the hotter the better (barber shops used to use towels that were boiled in water on the face to make sure it was warm enough). This is because it opens up the pores better.
It is also a good idea to exfoiliate before you do anything - a good scrub with an apricot pip body scrub will remove any dead skin and cause the hairs that are there to stand on end more, making them easier to cut.
You know, I don't know any women who actually use a woman's razor. Most of them are the same as men's but pink (a colour spawned in hell and only appealing to young girls as far as I can work out) and often cost more. Don't think there is any real difference between a female razor with 3-4 blades and the equivilent mens' one. I think the womans' are usually designed to be easier to hold when doing the legs (hence the big chunky handle) but I have never seen a woman have a problem doing that with a man's razor...
Moisturising straight after is also a good idea. I don;t think it matters how you do this, just a basic moisturiser will do it. Not perfumed, however, as that will irritate more in that sensitive area.