Did this myself about 9 years ago. Wife now cuts my hair - last time I paid someone to do it was the day before my wedding in, err, 2004, I think... The only problem I had was on New Year's Eve 2007 (awaiting 2008). Wife was very ill, about to go out on my own, tired and generally fractious, Christmas not having gone well. Started shaving my head, almost finished, checked my head, and realised that I had forgotten the plastic comb bit, and had given myself a No.0!
I agree that you need help for the neck line. Round the ears are best done by yourself.
I would advise against a Babyliss. Mine broke down after about 4 years. Now got a Remmington that seems much better made.