Makes changes to your style sheet screen.css.php. I used the margin variables to move my search box. You can see at http://www.ifixrobot.com.

To change the size for -static- search boxes I modified these variables in this CSS entry:
.s_static #site_search input {
width:
height:
margin-bottom: ;
padding:
font-size:
}

To move the search field change the variables in this CSS entry I modified these variables:

#top_navigation {
float: left;
margin-top:
margin-left:
}
I modified my header so more may be needed.
Warning, changing the size may change as you change displays like to tablets/ipads/mobile. So other changes may be needed for mobile.