In Texas and other deregulated markets, you can be on either a fixed rate for n months or on a variable rate. If you're on a variable rate, the rate will be much higher than normal for the next few months. If you're on a fixed rate you're fine for now, but keep an eye on when your fixed rate expires. This assumes that your supplier is still in business after the next few months (many suppliers will go bankrupt because of this). For the suppliers, they're going to be hit hard by people who either decide not to pay their supplier next month, or have people who switch to budget billing. They're going to suffer a cash crunch for a bit.
If you are in a regulated market or are using the regulated utilities like ConEd in NYC, you'll see limited rate increases to deal with the increased cost to supply. These rate increases need to be approved by the state's Public Utility Commission.