I arrive 1 million years later but I have a peavey vypyr vip 1 and I think it is a great tool to start, but other similar products can be great too.
It has amp simulations so you can do many style, a multi effect, if you get the pedal you can have a basic 30 seconds looper, got line in and headphones.
also I ordered a fun thingy the fender mustang micro, it is for headphone play (those kind of amplug), it has many amp and effects and it is very cheap (99 euros)