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I had my students use the same gear in the pool that they would use when we went to open water. That way when they did their skills in the pool with hoods and gloves ect. it was an easy transition to ow. Our pool was outside anyway.
We did not have to buy any wetsuit, only mask, snorkel, fins, ... all else was provided
Pool sessions were 3 and 4 hours long
Nobody overheated (remember, you can let in water into your suit as needed)
If your going to be diving in the drysuit, then yes, train in it from the beginning, or if your going to be in a thick wetsuit, then train in that
As for the amount of cost .. that varries ... you probably do not want to know what is charged here by my LDS for training, some places give you a much better deal than your figures
the OP is going to be buying a 3mm suit because that's what's needed for where he will be diving
I am not sure why anyone would recommend a PS Its sounds like some of the boys at your dive shop kind of goated you into buying the 3mm for training... If that the case, I would already be looking for a new shop! Would not surprise me if they have already mentioned buying that "Must have" dry suit!!!
Good luck and I hope you truly enjoy it as much as we do...!
Michael, I know you will have a good time and doing it over the weekend is well, well more than I would have wanted to do... Be safe and have fun!