A.S.
My two girls go the Lakeside Pediatrics. They have an office on the northside (near Tigertown) and the southside (near Ale House). All of the doctors and nurse practicioners are great and I know a lot of people who take their kids there. You will probably want a ped close to home in the beginning since you may be there every week or so for the first month or two. I'm not sure what to tell you about when you go back to work. It would stink to have to switch doctors so maybe you should find an office that is open on Saturdays or evenings.
As for laudry detergent, you don't need to buy the kind specially for babies but I do recommend fragrance free or dye free. I use All Free and Clear. Babies have such sensitive skin. I also recommend buying baby bath products and diaper wipes that are fragrance free. The ones with special scents are only for your nose anyway.
Good luck with the Pediatrician.