Caring is such a simple word, especially when it comes to people very dear for you. Ever cared for someone so much that you simply don't know how to do it? There are a dozen of pages if you search right at Google for them using some of the google operators I blogged about in earlier posts (*hint* "how to" care *hint*).
Social care shouldn't just be shown for relatives, you have millions of persons waiting and deseve to be loved. I'm not allowed to name such groups of persons, everyone has their own pride and see this matter differently. Be gentle and reasonable, that is always the first step towards finding real solutions.
For example, while browsing the Internet, I stumbled upon a fresh caregiving service called bettercaring, giving people a literal opportunity for a care home. I don't know how reliable their services are, but it looks very promising from my browsing point of view.
On the other hand, some may not deserve it so much. If they see you care, they get very (and I mean VERY) impolite, using you around to get their job done and generally abusing your kindness.
Finally, there are some problems if there are patients that require better caring. As a student of medicine, I'm not allowed ethically to show that I care literally for my patient and that I should always keep a "status quo", but I believe I would be able to show my caring indirectly by running all the appropriate tests and diagnosing them carefully, while I do not express my inner thoughts. Racism is out of question of course. There are certain ways to hedge embarassing moments of racist and fascist criticism, I can give you two: 1) Keep it short when explaining, no need for adjectives of extra beautification. 2) If you do make the mistake and "cross the line" just kindly say "I'm sorry, let me rephrase that". If you follow these two golden rules you'll be able to overpass some misinterpreted situations or not come to them at all!
To sum it up, care for those that really need it, be kind to everybody (including the attention "hunters"), and watch your expressions while chatting or explaining.