November is a pretty good month to go, I have gone there in oct and november both, the nasty season is april ( it rains all the time )
If u do not want to rent a car.. then you might want to consider a suite of adjoining rooms at the disney hotel or the one close by, there are all sorts of transport with in the theme park, some times you can get a package deal with transportation included if u stay at a certain theme park hotel,, check that out too ( shuttle buses( coaches) to and from certain locations etc,,,
Any place in ORLANDO is nice.. Universal is TERRIFIC, its good for any age actually :-) the teenagers will love the place !!!!!
If you want more help, let me know and Ill send u some sites to check out,,
JJ