If anyone is going through life itchy and not aware of why: dry skin, probably. I spent years scratching until I bled, and I'd bite when scratching didn't do the trick.

Just take some coconut oil and rub it into the itchy bit. Doesn't matter if it's liquid ("Medium-Chain Triglyceride" or MCT oil) or solid, but I prefer liquid (I keep it in a little dropper bottle). Coconut oil sinks into the skin FAST, so it doesn't leave a thick sticky residue - that's always been my problem with moisturisers.

If you need something more heavy duty, like if your skin is cracking or flaking, Palmer's "Coconut Hydrate" moisturiser (https://palmers.com/collections/hand-body-care-products/products/coconut-oil-body-lotion) does leave a bit of a residue but it's manageable at least for me. The face lotion (https://palmers.com/collections/face-care-products/products/coconut-water-facial-moisturizer) is very light though, and I haven't noticed it leaving a residue at all. I often use the face lotion on my hands because the body lotion is too thick for my liking.

I had to learn all this after moving to a high desert. Dry skin has been a problem my whole life, but here it got too bad to ignore.