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Side extension staircase

Hi, I am wanting to create a side extension of internal stairs to the exterior of the existing structure. Connecting the 2 levels of the house as there are 2 rooms upstairs and a rumpus downstairs which we will convert to 2 rooms. The existing floorspace is too limited to add the stairs internally hence the extension. I think a double L shaped staircase could work, wanting to know experienced advice, if you think this is possible or if there is a better solution, or different type of stairs etc. Please get in contact if you could help with this? (forgive my amateur drawing of the plan, it's just to get a rough idea of my vision) TIA