You should probably state what lens you are trying to fix.... If you have a lens that only has a bit of edge separation, you can use super light oil to make the lens usable, though that is dubious in the long run.
Jon's tutorial is excellent. When I recement elements I use machinist's V-blocks which is a very accurate way of doing it. I "bake" elements that have been cemented with balsam in the oven for a while which speeds up the process. Balsam melts around 300º IIRC so you can just use it straight if you want, but it is easier if it has a solvent in it. Instead of a Sharpie (which is dye) I use a Pigma archival brush pen which is a pigment ink, or you can also use Speedball Super Black Ink which is carbon black with shellac if you need to lay it on thick. you could make your own too if you wanted.
I think Canada Balsam is better than UV cement if you are just getting going. Canada Balsam also doesn't go bad, so it is cheaper to use, and it is easily reversible. You should try to match the refractive index of the original cement if you can find out that information. Good luck with that! Canada Balsam has a refractive index of 1.52, most UV cements have a refractive index of 1.54/55 IIRC, and cyanoacrylates have a lower refractive index than CB (I think?). I am not an optics expert and am just passing on info I have learned over the years, so I am not sure how big a difference it makes. Maybe someone can chime in on that.
Hope that helps you, or anyone else for that matter.