I suppose everyone will have their own view of what is the easiest path or not.
I would contend that the Llanberis path is in fact the easiest (and alas most boring), my mother made it up with gammy leg and walking stick! And is the only route that has two cafe/toilet stops before the summit (the others having none).
It is an old pony track that was used to ferry tourists up and down in years gone by, agreed it is not the shortest but it is the gentlest in terms of ascent. If your not a confident walker or are just unsure of the terrain (especially whilst carry photo gear) then I offer this as an alternative. Also you dont have to fight for a parking space at pen-y-pass as you start in the town.
Cant agree more with the equipment lists and safety advice above although I would add take water, plenty of water and maybe flapjack!
Petes eats in the town do one of the best fry ups in the country (you can stay there as well).
And although I am not suggesting in any way that you should attempt crib goch you do get a fantastic shot of snowdon from it and you can walk several hundred meters on to its lower slopes without any difficulty and look back toward snowdon
here is a link detailing the different routes you could take
http://www.hightrek.co.uk/climbing/peak/routes.htm
hope it helps
ps from my house I can see snowdon.... or rather because of the awful weather at the moment I cant...
you can check the weather here
http://www.metoffice.gov.uk/loutdoor/mountainsafety/snowdonia/snowdonia_forecast_pressure.html