Approximately how high up will the ceiling above the stove have to be.
Check the manual as the minimum requirement can differ. If in doubt ask dealer/manufacturer.
I guess I will just have to cut out the drywall and bricks up to a certain height and to a certain width from inside my house. Any guess at the approximate height and width I am going to need to cut out
I would simply make it an extension of your room with the ceiling the same height. Width: As much as you can do within that chase; it never hurts to exceed clearances. Have you measured it from the outside? Take that width, subtract standard wall depth twice for each side and that will approximately be the width you will have for stove + clearances.
I am assuming this needs to get inspected. When does this happen and by whom.
Local building inspector. I recommend talking to him/her before starting that you know how it should be done.
I am a pretty handy person. Is this something I can do myself???
People here have done it. You will need to judge your skill level for yourself.
I think a large would be overkill since the stove will only be about 8 feet away from our living room couch.
The 30 series BK stoves can actually be turned lower than the 20 series. And 8 ft is plenty of distance. We sit up to 3 ft from ours without being roasted.