"Considerate" means thinking about other people, their desires, and their feelings, and acting accordingly.
"Thoughtful" could mean exactly the same thing as "considerate," or it could mean just thinking -- about anything. A thoughtful answer is one that has been carefully thought about before it is given, not a quick, "off the top of your head" answer. To say something thoughtfully means to say it a bit slowly, thinking about it while you say it. A thoughtful gift is one that has been carefully chosen to best please or benefit the recipient.