After we moved Gizmo went exploring within the hour of being moved in
We had already moved her house to the our new house and she was temporarily living her old house in our old house (hope that makes sense)
We let her out in the room with her house in and she went in to get a drink – then went exploring the non Gizmo proofed room, it took her a little while to move into the other rooms downstairs, but once we had the sofas in she was upto her old tricks of squeezing underneath the reclining ones (nice big void under there for her to sleep in lol)
Sounds totally natural to me for them to be a little wary, if you’ve got the room rabbit proofed, i’d leave the front door of their cage open and let them explore in their own time, dependant on the nature of your bunny, either stay with them as a comfort, or (if like Gizmo) leave them to it so that they think they can get upto mischief
If they usually have toys out in the room then put them out also, and if you’ve got something familiar that they used to play around (like a side table or something) it may help to give them some slightly familiar surroundings
Matt