I need some expert advice. I have built a simple, mildly adult, web site on tripod and it has become so successful that I am running out of bandwidth at an alarming rate. I have bought some but it is not lasting long. I need to find a good host that is simple to build on affordable and with the potential to grow.
please recommend good hosts for my site

It might help if you included information such as:

how much disk space do you need?
how much bandwidth do you need?
what types of scripts are you running?
do you need any databases, if so, what kind?
Do you need an IP based site so that you can use SSL certs?
What are your email requirements?
What is your budget?

You will need to be more specific than that my friend.

and spell out what you need in space and bandwidth you will get plenty of responses.