Greetings... I get this sometimes in XtremeCold (it sucks). Some helpful tips as I am allergic to many Skin lotions/Deodorants and perfumes/colognes... so I was forced to learn about this stuff. Make sure that the lotion you use is HypoAllergenic and has no Alcohol in it (which means it will be scent free and not contain any form of Isopropyl anything). Lotions that are not Hypo and contain some form of Alcohol actually drie your skin out more (in the long run) and make matters worse- they also cause a body dependency on them (since you are required to use them more often, the body stops producing its natural moisturizers forcing you to use more often- this is the same with LipBalms). When ya shower, make sure ya "scrape"

your skin good with a washclothe or body sponge to get the dried/dead skin off, exfoliate. This will force the Body to produce more of its natural moisturizers and assist in keeping the "good" skin from drying out.
Hope this was helpful and GoodLuck with the irritating dry skin- what I dislike the most is when (not being inappropriate) your chest and nipples dry out- wearing a shirt can become a painful/irritating experience.