You've noted that in addition to vaginal dryness, you're now using drops for dry eyes, a treatment for dry mouth, and more hand lotion than ever before. Yes, dryness is generalized in menopause, because the estrogen receptors we have from head to toe (and especially in genital tissues) have far-reaching influence! As we lose estrogen, we lose moisture in all kinds of tissues.
Systemic estrogen is a possible solution; it can make remarkable improvement. Every woman is different, though, in the extent of the effect, so a three-month trial might be considered to see if there is a notable benefit.
Otherwise, it sounds like you're taking advantage of the topical solutions available to you—moisturizers for every body part! This is a good time of life to develop a good hydration habit, too, if you don't have one already.