/customer/main/cart_totals.tpl
It is the line..
{include file="modules/UPS_OnLine_Tools/ups_notice.tpl"}
near the end of the template.
I didn't remove it, I moved it.
I just put it all in a table...
{* $Id: cart_totals.tpl,v 1.67.2.13 2005/10/27 11:00:28 svowl Exp $ *}
<TABLE border="0" width="100%">
<TR>
<TD width="50%" valign="top" align="left">{if $active_modules.UPS_OnLine_Tools ne "" and $config.Shipping.realtime_shipping eq "Y" and $config.Shipping.use_intershipper ne "Y" and $current_carrier eq "UPS" and $force_delivery_dropdown_box ne "Y"}
{include file="modules/UPS_OnLine_Tools/ups_notice.tpl"}{/if}
</TD>
<TD width="50%" valign="top" align="right">
<DIV align="right">
{if $config.Shipping.disable_shipping ne "Y"}
{if $login ne "" or $config.General.apply_default_country eq "Y" or $cart.shipping_cost gt 0}
{if $active_modules.UPS_OnLine_Tools and $config.Shipping.realtime_shipping eq "Y" and $config.Shipping.use_intershipper ne "Y" and $show_carriers_selector eq "Y"}
<FONT class="FormButton">{$lng.lbl_shipping_carrier}: </FONT>
<<middle snipped for this discussion >>
<INPUT type="hidden" name="mode" value="{$smarty.get.mode|escape:"html"}">
<INPUT type="hidden" name="action" value="update">
{if $display_ups_trademarks}
{* {include file="modules/UPS_OnLine_Tools/ups_notice.tpl"} *}
{/if}
</DIV>
</TD>
</TR>
</TABLE>
<HR align="left" noshade size="1">
{if $active_modules.Special_Offers ne ""}
{include file="modules/Special_Offers/customer/cart_bonuses.tpl"}
{/if}