Actually, I only figured out how to size the search box.
I think I'm going to post to the HTML, XHTML, CSS, Design Questions forums to ask how to move it using CSS.
Thanks,
Tony
<div class="search-box forum-search-box">
<form asp-route="Search" method="get">
<div class="basic">
<input type="text" class="search-box-text" id="forums-small-searchterms" name="searchterms" placeholder="@T("Forum.SearchForumsTooltip")" />
<input type="submit" value="@T("Forum.SearchButton")" class="button-2 search-box-button" />
</div>
<div class="advanced">
@Html.RouteLink(T("Forum.AdvancedSearch").Text, "Search", new { adv = true }, new { title = T("Forum.AdvancedSearch").Text })
</div>
</form>
</div>