Such a broad question makes it very difficult to give a good answer.
When you are wanting to store the check boxes, are you checking for yes/no values or something like options a new vehicle?
If you are storing yes/no then it is as simple as storning them in bit/tinyint/boolean fields.
An example for SQL Server (using bit and the OleDB library) would be:
Dim iBitVal As Integer = IIf(CheckBox1.Checked,1,0)
Dim cmdUpdate As New OleDBCommand("UPDATE myTable Set bitColumn1=" & iBitVal & " WHERE UniqueField=MyUniqueValue",MyOleDBConnection)
If you are storing something such as options on a new vehicle, you will to design your table accordingly. You can store them all in one field using a max length column or you could create a field for each option (only if constant - Very sloppy but some times manditory)
I hope this helps.
Please provide more infromation for a better answer. :)