Congrats on attempting this. It will be an experience. Welding from the outside will be much easier and the slag can be ground down later. Edge to edge is called butt-welding and can be tricky on a project like your's. You would need to trim the replacement panels to fit exactly. An easier method is to flange the panels so they overlap and you have some leeway. An air flangeing tool from Harbor Freight is like $50 or you can form it with a hammer and dolly. Then you weld them on and fill any gaps with filler. The biggest headach will be the curved parts that go by the glass rain gutters. Also be sure you cut back to good solid metal or you will burn through.