is it safe to yum upgrade the kernel?

Last week I got the (Fedora 2) server and decided to run yum check-update. At the end these are the files that need to be upgraded. I searched Google and different people are suggesting different things about upgrading the kernel via yum. Is it safe? I have sites live and can't afford to screw up. Is the yum update the correct one to update if I decide to?

ImageMagick i386 6.2.0.7-2.fc2 updates-released
gtk2 i386 2.4.14-2.fc2 updates-released
kernel i686 2.6.10-1.771_FC2 updates-released
krb5-libs i386 1.3.6-4 updates-released
mysql-devel i386 3.23.58-9.1 updates-released
squid i386 7:2.5.STABLE9-1.FC2.2 updates-released
telnet i386 1:0.17-28.FC2.1 updates-released
util-linux i386 2.12-19 updates-released
xorg-x11-Mesa-libGL i386 6.7.0-14 updates-released
xorg-x11-font-utils i386 6.7.0-14 updates-released
xorg-x11-libs i386 6.7.0-14 updates-released
xorg-x11-libs-data i386 6.7.0-14 updates-released
xorg-x11-xauth i386 6.7.0-14 updates-released
xorg-x11-xfs i386 6.7.0-14 updates-released

Also, can I upgrade to MySQL 4.0 automatically with no problems (other than the normal shutdown and restart) if I find a legit RPM?

thanks in advance and sorry for the newbie question, I just want to make sure.

 

 

 

 

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