I did this for a couple of months in my gap year before I had dc as there wasn't much out there jobwise. (Judge away, it's not the worst job I've ever had. I once did sales- ugh) So I'll give you the rundown.
You normally work at your own pace and when you want to (although the company I worked for requested a minimum of 10 hours a week) you don't have to talk about things which make you uncomfortable, and you will never have to talk about anything involving kids, you can immediately terminate the call if they talk about that. Same goes for if they're abusive. You don't have to deal with that. It's not to say you won't have icky calls- there are some oddbods out there.
Moneywise, it's not good UNLESS you have the time and dedication to do it full time. I think I was paid per minute, I can't remember exact figures, but I think I figured out that if you had a man on the phone for an hour it worked out at about £7.00 or thereabouts. Keeping a man on the phone for an hour doesn't often happen, they're usually gone in under 10 min.
It's pretty shit work. You may enjoy it at first as it's new and exciting (and funny, my god, the things some people are into! I was once asked to do an impression of Madonna, begging for it up the bum! That was bizarre) but it soon gets irritating, and for me, demoralising. You either get very good or very bad. Personally, I just gave it up after a few weeks as it wasn't my cup of tea and I found a "proper" job.
If you want to know anything more specific ask away, don't know what you want to know.
I'll be honest with you though, I have NO IDEA how you would do this with kids around. Were you thinking of doing it when they were in bed? Some men like you to be LOUD.