Righto.
What you will need to do is get the "search string" from the main providers you want to use, for instance with google, it'd be this:
string.Format("http://www.google.com/search?q={0}", "GoogleMe");
And for Bing, this would work:
string.Format("http://www.bing.com/search?q={0}", "BingMe");
Yahoo:
string.Format("http://search.yahoo.com/search?p={0}", "YahooMe");
Following the same pattern for other search engines. Example as follows:
private void Window_Loaded(object sender, RoutedEventArgs e)
{
    Search(SearchProvider.Google, "StackOverflow");
}
private void Search(SearchProvider provider, string keyword)
{
    Uri UriToNavigate = null;
    switch (provider)
    {
        case SearchProvider.Google:
            {
                UriToNavigate = new Uri(
                    string.Format("http://www.google.com/search?q={0}", keyword));                        
                break;
            }
        case SearchProvider.Bing:
            {
                UriToNavigate = new Uri(
                    string.Format("http://www.bing.com/search?q={0}", keyword));
                break;
            }
        case SearchProvider.Yahoo:
            {
                UriToNavigate = new Uri(
                    string.Format("http://search.yahoo.com/search?p={0}", keyword));
                break;
            }
    }
    Browser.Navigate(UriToNavigate);
}
enum SearchProvider
{
  Google = 0,
  Bing = 1,
  Yahoo = 2,
}