When looking for a site for my students I must be very cautious, especially because they are second graders. I would primarily look at whether the site is appropriate and user friendly for children of the younger ages. They shouldn't contain any offensive or vulgar words or images. Of course credibility is very significant as well but I would first look to see if the site suits the second grade knowledge level and then see if the site is credible and well content oriented. I would also check to make sure the site is easy to use and navigable for students. If there are too many different links to click or go through it would be too difficult for students to use. The site should also be fun and exciting for students to keep them entertained and focused.
In terms of finding sites for my classroom preparation, I would primarily look to see if the site is credible or not. The site doesn't have to be all colorful and picture filled for me when trying to prepare a lesson for a class. I think the content is most important because I will be using this information to teach my students and therefore I would need trustworthy information with good resources. For preparing classroom lessons, I would be more open to sites so that I can become as educated about the topic as possible.
When finding sites for my own entertainment, I don't have many restrictions other than staying away from sexual or vulgar sites. I mean, yes, sometimes I do look for credibility just so that it's not a complete waste of time but I more so look for something that will interest me not so much for the facts and knowledge I'll gain from it.