When the Sun gets to the age at which it will rapidly expand what effect would it have to the outer planets and it's moons? Would it make new habitable areas of the solar system?
Possibly but "Habitable" doesn't automatically mean "Suitable for Earth-creatures"
Mars will be heated significantly, enough to boil off any water. The same will happen to the moons of Jupiter, though there will be a period during which the ice on Europa melts and evaporates.
Titan is a more interesting case. It would be in the habitable zone of a red-giant sun. It could form Ammonia-water oceans and a complex atmosphere that may make it suitable for bio-genesis. However while it might be warm enough for humans, it won't be a home-away-from-home. There is no oxygen, for a start. Any future Earthlings would have to terraform it before moving in.
A deeper discussion of habitable zones around red giants is had by Bruno Lopez et. al. in 'Can Life develop in the expanded habitable zones around Red Giant Stars?'