Working at home is work too.... You just don't leave the office.
We run our company from home and I am in this office most of my day. You must be very motivated and self disciplined to work from home.
Most companies would require you to have childcare because no one wants a rep for them talking to clients with children or animals in the background.
Most companies (me included) will not hire someone to work from home because first they must prove that they are capable of the work and will do a quality job.. I do have a couple of people I will work with because I know they are diligent about getting a job done timely and correctly.
If you have been at your position a while and you do a good job, possibly your boss would allow you to telecommute a day or 2 a week, etc.
Some seem to think you can get paid to work from home and watch your children all day. That is a dream world.
You'll get hit up with all the MLM/direct sales recruiters to come sign up with them. Just make sure if you choose to do it you read all the fine print.
As the saying goes.... if it sounds too good to be true,, it probably is a scam