That sounds like a smart route you're taking... as for your question:
According to the FARs, you first need an instrument rating: 50 hours of cross-country flight as PIC (that includes any solo x-c flight you did before or after your PP checkride), 10 hrs of which must be instrument-rating training (under the hood, in flight). Then you need 20-30 hours on the sim (ann FAA-certified sim).
Then you need your commercial ticket, which requires a minimum of 250 hrs. flight time (that includes the training for your PP and IFR certs.). That's broken down into various minimums for instrument training, solo cross-country, etc.
You can do the commercial first, but most do their IFR training first; those hours count towards the 250 needed to take the commercial test.
There's no minimum-hour requirement per se for the CFI rating; that's covered by the requirement for IFR and commercial.
So after your further training towards becoming a CFI, before anybody hands you that paper, you'll need to have logged a
minimum of 250 hours, including 15 hours "as PIC of the ... aircraft... appropriate to the flight instructing rating sought".
Remember, that's the
bare legal minimum. Very few get there on just the minimums, although in a college setting, you should get to fly more often, which helps keep things moving. When you get into IFR training and maintaining your IFR rating, there are time limits that will require you to keep moving along.
And from your very first lesson, your study habits will dictate your rate of success- it's 90% mental, esp. in IFR work. So get yourself s copy of the FAR/AIM!!

It will answer all those questions...
And... good luck!!