Its very easy for Indians to travel in Bhutan. You can travel on your own or avail service of local Bhutan tour companies. You have the choice of hotels from five star hotels to standard hotels.
I arranged hotels on my own and hired car from one company called AB Travels. I got a good car and a driver who acted as my guide. I loved Bhutan.
If anyone wants to hire car then you can use service of AB Travels.