Ok, so you have the benefit of not needing to have and butt joins if you use tapered edge board. You will need a friend to help you as it helps in the ability of being accurate with the board cutting and getting them up there I find. Install the boards with the square "raw" edges to the walls so you have a rolled and tapered edge running the width of the room, with some carefull measurments it would be advisable to put a board in the center of the too and then two cuts either side so you dont have and tapers too near the edges. Once this is done you apply a self adhesive scrim tape along the joins inside that tapered part.
You have a boarded ceiling, scrimed and ready for filling.
The beauty of the tapered board from a DIY perspective is that it gives you a datum to fill out too, I would advise you used "easyfill" for this, as it can be sanded, you can do all of your work with this product and any left overs will be useful around the house
Mix the easy fill in a bucket, you dont need alot and remember that you havent got to go everything in one go, take your time. Then with a trowel or even a wide scraper (needs to be wider that two tapers) apply the easy fill across the join, pushing it in firmly but also leaving it slighty proud of the board. Dont worry too much as you can go over it again. Once you have done the whole join or ran out of easy fill pull your trowel down the join applying firm pressure so you remove the majority of easy fill from the face of the boards and leave only the taper mainly filled flush with the board. once that is set up nice and firm you can apply another layer a few inches wider than the taper, and then even a third coat if you are keen, once properly dry you can sand this to an acceptable finish with 120 grit paper, be carefull not to work at the paper on the plasterboard too much, youy dont want to go through it. When it comes to the screw heads, just dab a spot of easy fill over them and then swipe over with your trowel at 90 degrees to the way you put the easy fill on to leave it slightly proud of the board, these again can be lightly sanded to flush them up.
If your measuring and cutting was neat then the edge can simply be caulked into the wall at the corners, or a cover strip / coving used to fill anything too large for caulk.
Good luck, I hope that makes sense, ask more questions if you need