Hiya SadSam, you and I are in a very similar situation, in that I am about to start TTC my first, and I too am 34. I've been on the Pill for about 10 or 11 years I think. My progress is being hampered by the NHS - I was behind with my smear tests, so like a good girl I went to get tested before TTC. The nurse advised me to wait for my results before starting, as if there were any abnormalities they could be addressed, but not if I were pregnant. I am still waiting for my results to come back before starting to try for a baby - 6 weeks waiting, and counting.
If you're planning to have a baby, start taking folid acid daily now. 400mg per day is recommended - you can get this in Boots and similar places. This will reduce the risk of Spina Biffida and other tube defects. I've read things that say you should take this for 3 months before getting pregnant, and other sources say you get benefit even taking it for just a month before getting pregnant.
The doctors will recommend that you wait for one natural period after coming off the Pill before you start TTC. The only reason I can find for this is that it makes calculating your due date easier, so I never saw any real benefit from doing this. Had it not been for my smear, I'd have been trying from the first opportunity
Coming off the Pill is interesting. I came off in July, and I have been watching my cycle carefully by charting my temperatures on fertilityfriend.com. My first cycle off the Pill was short (23 days ish), and I ovulated late (somewhere around 18 days). This cycle my ovulation was better (about day 13), still waiting for AF to see my cycle length. It looks like its going to take me a few months for my cycle to settle down. It all varies - some people get pregnant the month they stop, others take a few months or longer.
About the boy or girl thing - apparently boy sperm swim faster, but girl sperm live longer. So if you have sex right near ovulation, it's more likely to be a boy, whereas sex a few days before ovulation will probably give a girl. As with all things there are no guarantees of course
Hope this all helps,
Hugs,
Artoo.