The word "bill" can refer to two things: 1) The piece of paper or the e-mail that a service sends you to tell you how much you need to pay them. 2) The amount of money that you have to pay.
So you can talk about the physical bill itself:
I put the phone bill over there on the counter, but now I can't find it.
Or you can talk about the amount of the bill. To describe the amount, use "high" and "low":
Our gas bills are pretty low.
As you can see from the last example, you can identify bills for different services. Some common ones are:
- electric bill
- phone bill
- cable bill
- Internet bill
- dry cleaning bill
You can also say the name of the company that's charging you:
This month's Time Warner bill was higher than last month's.