200 amp panel
Without knowing the distances involved and the current wire size, we can't say anything for certain. But, the wire between the pole and the house maybe undersized based on the total run. So, you may need to replace the wire between the existing pole and the house (either on sizing or for another conductor). In that case, it might be better to do a direct run from the new panel to the existing panel.
Have you talked to Hydro about your plans? Some power companies do not allow a new structure to go in under their drop, and will insist on moving it to,or near, the new structure. Even if they allow it, they will have a minimum clearance required between the overhead wire and the roof.