Theme looks ugly – FOUC – stylesheets loaded in footer

Changing the position of wp_enqueue_style inside functions.php will make no difference at all. Scripts and styles are printed on a couple of hooks. Placement of the registration functions inside functions.php is not a factor.

Your stylesheets are loading in the footer. Neither wp_enqueue_style nor wp_register_style have an $in_footer parameter like wp_enqueue_script and wp_register-script.

I have to assume that your theme is loading the scripts manually hooked to wp_footer. Look for add_action('wp_footer',.

Please edit your question to include the code that includes the stylesheets. That will help with improving this answer.