Common task when move to new web hosting is changing ns server supplied by hosting company.

ns1.domainname.com

ns2.domainname.com

You must enter those ns to domain control panel and wait. In case of web transfer after where you hired by someone or they little bit worry about the process you can educate them by using these tools :

1. intodns.com ; this service will check latest ns server that work for a domain.
2. free dns service ; you can use google public dns or opendns service.
3. clean dns cache ; you can type ipconfig \flushdns under ms dos command prompt.

By use those tools you can show latest status of domain propagation. In case of slow respond from your dns given by your isp you can ask them to use no.2.

Happy transfering 🙂