I would advise a normal prep routine, which I believe in your case would be warm or hot. Only cold water when washing between passes and soaking the brush. Warm up the blade too. I wouldn't go as far as committing to ice cold water just cold. This is what I used to use and with great results. I don't think it makes a huge difference compared to razor/blade/product/technique.First ever cold water shave done. P&B Denali, mongoose with feather pro and a sink full of ice cold water. No shower, just cold water face wash and cold flannel.
First things first, lathering with cold water is a pain, pointless and the lather results suck compared to hot water. I'd lather hot and let it cool.
The shave was irritation free but not as close or as efficient as my usual hot water routine. In fact much less irritation, especially on my neck. I think the lack of stubble softening is the reason efficiency was down. Very refreshing though and I'd do it again, especially abroad in hot weather. The cold steel was a nice feeling and easier to feel the blade and angle.
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