Dan,
slower
are these your actual sources.list >>
viewtopic.php?f=190&t=113872#p665985if yes you need to go in a 2-steps process: first upgrade from latest to testing and then (when the system is stabilized and you happy with the result) from testing to sid)
preparation: remove the file
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/etc/apt/preferences
step 1replace all the content of
/etc/apt/sources.list with
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deb http://packages.linuxmint.com/ debian main upstream import backport
deb http://ftp.debian.org/debian testing main contrib non-free
deb http://security.debian.org/ testing/updates main contrib non-free
deb http://www.deb-multimedia.org testing main non-free
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sudo apt-get update && sudo apt-get dist-upgrade
check that everything is ok, you are going to have a new kernel installed, special attention to your graphics card drivers, grub, test the main app
when you are happy with the stability of the system let's go to >>
step 2(this is the big one

)
replace again all the content of sources.list with
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deb http://packages.linuxmint.com/ debian main upstream import backport romeo
deb http://ftp.debian.org/debian unstable main contrib non-free
deb http://www.deb-multimedia.org sid main non-free
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sudo apt-get update && sudo apt-get dist-upgrade
follow the sid breakages topic
http://forums.linuxmint.com/viewtopic.php?f=198&t=70230 
and good luck