you have nothing to worry about. from what you've shared, it looks like you've installed CheckPoint's ZoneAlarm Free Firewall Community Toolbar. This Community Toolbar is powered by Conduit, and you're now facing install questions.
Some background: Conduit is an app network, powering apps and community toolbars for more than 260,000 publishers and their 200 million users.
More about CheckPoint and Conduit's partnership: http://finance.yahoo.com/news/Conduit-Helps-Power-Browser-bw-3939265249.html?x=0&.v=1
You can opt to use either of those searches, and you can always go back and change your search prefs:
in IE: click the dropdown arrow near the mag. glass in the FAR RIGHT top corner > select "Manage Search Providers"
in FF: the same option is in the same dropdown (on the right side of the search box on the far right top corner of the screen)