Put the connection string in your web.config file. Then create a class that contains methods to retrieve the connection string and return it.
web.config:
<configuration>
<connectionstrings>
<add name="My_ConnectionString" providername="system.data.providername" connectionstring="Server=servername;Database=databasename;Uid=userid;Pwd=password;" />
</connectionstrings>
</configuration>
class:
Imports Microsoft.VisualBasic
Imports System.Data
Imports System.IO
Namespace YourNameSpace
Public Class ConnectionString
Public Function GetConnectionString() As String
Dim DBConnection As New SqlConnection(System.Configuration.ConfigurationManager.ConnectionStrings("My_ConnectionString").ConnectionString)
Return DBConnection
End Function
END Class
END Namespace
This is a very basic solution to give you an idea. You may have to adjust it in order to get what you want.