Exposed filters of a view printed in different places
My first instinct would be to create a custom template for that specific View. However, based on the screenshot, it looks like you only want to move 2 of the 3 exposed filters to the side.

Had you wanted to move all of the exposed filters to the side, it likely could have been done with a custom views-view.tpl.php file.

Perhaps give the  Better Exposed Filters a try!

I haven't personally tested this module, but a Google search lead me to this. Hope this helps.