First thing... Congratulations!!!
Second take your time making some of the decisions, the choice of a doctor vs mid wife first, you can then choose a hospital, that way you can choose one that your doctor or mid wife has affiliations with. Most doctors won't see you until you are 7 or so weeks pregnant. You will be offered LOTS of tests but only YOU can decide if you want to have those tests, I suggest that you find a doctor that will spend some time with you to talk about your options. I would also look to see if they are affiliated with a Maternal Fetal Medicine specialist, I say this because they deal with "high risk" pregnancies, which even if you have no other reasons to be high risk being over 35 is a "risk factor". Be prepared for a few more blood pressure checks, a few more ultrasounds and generally to just be "watched" more than we would if we were under 35.
When I had my daughter, I had an ultrasound all but a couple of months because my doctor was worried about the babies size. I had to have the diabetes test 2 times but my daughter and I did great and now I am trying for #2 and I will be 37 when I concive and either close to or 38 when I deliver.
I also suggest to NOT read the "What to expect when you are expecting" book, it scared the heck out of me because of my age! I liked it to know what the baby was developing at what time but not for the what if's or my questions. I found a lot more help on this board.
Good Luck and Congratulations again!!!!!
Kay (37), DH (40), DD (14 months)