Mike, if you're familiar with code at all you can set the blog up to publish to your website automatically using your RSS feed (if not, a good programmer can set this up quickly *for* you), or you could create a custom widget of your blog with
widgetbox and add the widget to your page...
You could also simply host the blog on your domain and include the blog link in your main navigation menu, effectively making the blog and it's content a part of your website.
All in all, I'd strongly suggest hosting the blog - when you copy/paste the same content from the blogger blog to your website page you're effectively creating duplicate content which defeats any search engine optimization you might gain from blogging in the first place. (NOT that that's all your blog should be created for, but still - you want to get 'credit' for all those great keywods in the search engines

)