:
There are a few protocols with IVF, and it will largely depend on the protocol you are on as to how long it will be from the first day of meds to the transfer of your embryos.
A down reg protocol will span about 2 months from AF, and a flare with take only a month. That's because with a down reg, you are put on suppresant drugs prior to the pick up cycle, and with a flare, you don't have this 'preparatory' cycle, you launch straight into Follicle Stimulating Hormones the day after AF arrives.
In the cycle where you have your pick-up (or Egg Collection), you start your meds to start stimulating the follicles in your ovaries. This will generally follow the natural rythym of your body, which means your follicles will take between 12-16 days to mature. Depending on how your body responds, they will be aiming for about 10 eggs to pick-up.
You will normally have regular blood tests and untrasounds to monitor follicular growth and when your most mature follicles are around 18-20mm big, they will book you in for your Egg Pick Up. This involves a GA or sedation, and they will do a mini op to retrieve your eggs using a fine needle through your vaginal wall. Once the eggs are retrieved, they are put with your DH's sperm for fertilisation. At this point, around 60% of eggs fertilise, but this number is variable.
Depending again on your clinic, 1-2 of these fertilised embryos will be transferred to you after 2-5 days from pick up. Then, you wait until when you AF would normally be due to see if it worked!
That's the really summarised version, and skimmed a lot of things that are done differently between clinics. But it should give you some idea.
ETA I did two flare cycles and 3 down reg. I think most Drs tend to lean towards down reg because they have more control over the cycle.