Dry skin products...?

so i have been noticing some dry skin around my nose and all around my eye area so i thought i might try out some moisturizing products. i purchased the almay eye makeup remover pads and i normally get them in oil free but when i recently went i found they had a moisturizing kind so i got them and i noticed they are oily. after removing my makeup they didnt leave alot of residue of oil so it wassnt too bad. i was wondering if that is how alot of "moisturizing" products are? should i try a different eye makeup remover or is it oily to help add moisture? one more thing is i did notice that it helped the dryness. can i get another eyemakeup remover that will be less oily but still help with dryness? not too expensive!