I know you said we didn't have to post anything, but since I don't know when we'd have a discussion, I thought I'd post some notes.
PROS
1. It protects your children when you aren't there to look over their
shoulder.
2. It enables you to avoid being bombarded by unwanted websites and
emails
3. It prevents pornographers from making money off of you by luring
you onto their sites
4. Since most of the pornography online is illegal anyway, it is a
way for you to maintain the law.
5. Some filters allow you to decide what makes a good site vs. a bad
site, so you are in control, not someone else.
6. It prevents people from getting information about you or your family
that you don't want them to have.
CONS
1. Filters don't block everything that you want them to.
2. Filters can block things that you don't want them to.
3. Some people think it infringes their civil liberties rights.
4. People are always discovering new ways to bypass filters.
5. It makes you have a false sense of security so you might miss the
fact that your kid is on bad sites.
6. Filters allow things to be unspoken, but parents should talk to
their kids about their responsibilities to make the right choices about
what they view on the internet.
I would choose the algorithm filter because it allows you to choose your own limitations and enables you to see actual screens that have been visited, so you can see for yourself what the content of the viewed site is, and whether it is appropriate.