Mutation and Deed

Both of our parents passed away, we (brother and sister) are inheriting the salt lake home. We intend to renovate and live in this home for some time, with the option to sell the home sometime down the road if need be. We are planning to simultaneously do partition-deed and mutation. The partition deed is simple -- one of us stays upstairs, and the other downstairs, roof and siri-ghar is shared, and who ever gets downstairs gets the real garage, while the other one gets the covered driveway space. We agree on who get which floor now and this goes into the deed. Our constraints are (a) get this done ASAP, and both of us being NRIs, limit the simultaneous (deed+mutation) court presence to just one visit beyond the initial, (b) ensure if one wants to sell their share to third party, that will be possible. Questions are as follows: (1) Are these constraints asking for too much? (b) how long will this take to implement? (c) should we sequentially do deed and partition instead, if so in what order? (d) what documents beyond PoA and PoR (relationship) are needed? (e) ball-park estimate to execute? Thanks