Hi, T. --
First off, I'm sorry about your loss. I had two miscarriages, both of which required a D&C, so I know what you're going through. My doctor advised my husband and me to wait three months before trying to conceive again, and that's what we did. Some doctors feel that waiting one month is enough. It's really up to your doctor. Although I know you're anxious to try again, I advise you to wait at least a couple of months to let your body recover from the stress of the pregnancy and surgery and to give yourself time to grieve your loss.
As for how long it will take to conceive after a miscarriage, the vast majority of healthy women under 35 conceive within six months or less and deliver a healthy baby. There are certain exceptions depending on the health and/or age of the mother, but statistically you stand an excellent chance of conceiving fairly quickly and having a successful pregnancy the next time. You didn't mention your age but the fact that you feel your biological clock is ticking tells me you're probably over 35.
FWIW, my SIL miscarried twice after having two healthy daughters, and then had twins. They're now 2 1/2 and quite a handful.
Good luck; let us know how things turn out.
S.