What is the actual cost for passport renewal and how long will take to receive it by mail at a Boston home address ? How long would be valid for ?

For your most accurate information you should visit your local Post office.

I think they charge about 200$ though I'm not really sure since its an express office they can send it to you in as little as 3-5 days mail I think takes about a week or 2 or less depending on when you have to travel your passport once renewed will be valid the same as a normal passport 10 years.