Not only is it very doable but the US consulate in your new country will literally help you fill out the paperwork.

1. Move to a new country

2. Present proof you have a new citizenship (you can't generally be "nationless" by international law or you end up remaining a citizen of whatever country you were last a citizen of)

3. Fill out the paperwork and pay $450. The consulate will assist you if you need help.

If you can follow the instructions to bake a cake, you can surrender your US citizenship. It's neither difficult nor expensive.