WordPress Attachment Files

I am having quite the issue figuring out why WordPress after moving from one install to another and checking off to take all the attachments with me to the new install. And yes all the attachments were moved. But When I tried to figure out why none of my attachment.php pages were actually displaying the media (images) at the size I set before the move in the Settings -> Media.

I then look at the html in the viewer and see the current install is still referencing the old install. See below

[caption id="attachment_35" align="alignleft" width="360" caption="Richmond Oval Interior"]<a rel="attachment wp-att-35" href="https://gripshift.ca/?attachment_id=35"><img class="size-medium wp-image-35 " title="Richmond Olympic Oval " src="https://gripshift.ca/wp-content/uploads/2010/02/Richmond-Oval-interior-600x345.jpg" alt="Photo of Richmond Olympic Oval Interior" width="360" height="207" /></a>[/caption]

The last time I moved a wordpress site from wordpress.com to sitehosted site this also happened and that was almost a year ago.

I am frustrated confused and yet I still have faith in wordpress as one of the best CMS systems on the web. Please someone explain this to me.