照顾 vs 安慰 zhaogu vs anwei
安慰 (anwei) is used for mental care, similar in meaning to "comfort/consolation". 
照顾 (zhaogu) is used for daily care, like that of parents towards kids, nanny towards a baby, nurse towards patients, etc.

Typical use:
他生气了，我安慰他。(He's upset, so I comfort him.)
他生病了，我照顾他。(He's sick, so I took care of him.)