Does the shuttle bus to Disney from the hotel cost much for a family of 2 adults and 2 children.( as trying to budget for travel on top of holiday cost ).

I didn't take any shuttle to Disney from the hotel. My understanding is that they provide free shuttle to Disney as they have a counter across from their checked in counters that sells theme parks tickets including Disney. Give Rosen Inn International a call to verify about the free shuttle.

Uber would be the cheapest option i am told by guests that have used them

Better of to have car hire if you can it's cheaper in the long run

The shuttle bus from the hotel to Disney does get alittle costly when you do it per day. I know they give you a SLIGHT discount when you reserve your spot for more then 3 days. A Uber is a tad cheaper, usually around 15 one way.