Voice surgery is really not at all recommended! If it was really that good everyone would have it done.
Try to go up an octave at a time or just go up few octaves immediately (without going into falsetto territory) and then stick to it. Don't go back to your old voice at any point or you undo the work you are doing. Your vocal chords will slowly over months and years adapt to the new pitch and it will become normal for you. With your new range you can then go down slightly if need be until you no longer sound hoarse/strained. It seems really daunting now but over time it gets easier.
While feeling your way around your new range what you can before you start to speak (for example before a phone call), make a vibration with your throat like an nnnn, un, mmmm hmmm or an umm to see where your voice is resting at and then adjust your speech accordingly.
Best of luck!

Just keep plugging away at it and it will come.