Will Google Custom Search results on my home page kill it's ranking?

[bizzer]

This is probably a dumb question, but here goes anyway.

On a site I have it would be very useful to the reader to offer a search box that uses a Google Custom Search that I have optimized to search websites that are closely on-topic with my site. I know it sounds bad that I would send people to other sites, but just assume that the reasons are valid for this discussion.

My question is, if the search results are set to display on the same page (the home page) as the search box, will the links in the search results to external sites just bleed my page rank to death?  I assume it would, but thought I'd check just in case I'm missing something.

I have to option to place the results on separate page of my site, and noindex it, but it won't be as powerful as it would be on the home page.

[YouON]

Google will not index those links, I think. The links are shown only if a user use the searchbox, they are not visible when you open the home page right?

And probably Google will not hurt your site if you're using one of its tool correctly.

[bizzer]

The home page when first called up has the usual stuff that home pages have, plus it will have the search box under the header -- there are no search results shown at that time.  Then, if someone searches with the search box, the search results slide down under the box (shifting down my home page contents in the main content area (not the sidebar).

And when someone goes elsewhere on the site and then returns to the home page, the search results are not there, just the search box again.

[YouON]

In my opinion, no problem. Wait for some other expert advices.