I still get dry, chapped skin in spots.

Rub flaxseed oil directly on the dry spots. Transdermal delivery of drugs is currently one of the hottest areas of clinical research. Omega 3 is one of Nature's most potent "drugs," so just massage it into those areas.

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2700785

First-generation transdermal delivery systems have continued their steady increase in clinical use for delivery of small, lipophilic, low-dose drugs. Second-generation delivery systems using chemical enhancers, non-cavitational ultrasound and iontophoresis have also resulted in clinical products; the ability of iontophoresis to control delivery rates in real time provides added functionality. Third-generation delivery systems target their effects to skin’s barrier layer of stratum corneum using microneedles, thermal ablation, microdermabrasion, electroporation and cavitational ultrasound.

Microdermabrasion is something I know a little about in a DIY way. I buy 100 grit aluminum oxide crystals, mix it with shea butter cream or aloe cream and give myself a facial that would cost $50+ in a salon. (Keep the crystals mixture away from the tender skin around your eyes!)

http://www.needcrystals.com

So...microdermabrade the dry area, then slap on some flaxseed oil. You'll be amazed how velvety soft your skin will be.

If your lips get chapped, they need hydration, not lubrication. Put a steaming warm wet wash cloth to your lips until they become fully saturated with moisture; THEN seal the moisture in with a thick waxy substance like Chap Stick. I learned this when my son had chronic chapped lips from nervous licking.