There are many webhosting companies out there. I had problems with some and now I work with eurofficial.com from a long time. They have been very very good, and support is always there when you need. I didn’t notice any disruptions, at least prolongued ones.
They have a plan of 100mb and 4gb bandwidth for $8 if it fits your needs.
You can also visit webhostingtalk.com to look for a company. They have special offers all the time.