I too am a grandfather, so know how you are feeling with all the new technology out there, I have had my AV 560 now for a couple of years, and while not an expert, am fairly competent with it. I copy DVD's using IMTOO DVD to MP4 converter4, you may have to pay for this but I have used my sons registration number and it works fine.
As another contributor has said you can download movies from the net, sites such as Limewire for instance are out there but, are a bit suspect legally. I have also got a 3 months free trial from www.lovefilm.com
they send me 3 DVDs at a time, with free postage, well worth a look.