The procedures differs between countries (and regions) so this site will describe the situation in the USA, Canada and the United Kingdom with a section on international investing, applicable to all international transactions.
Finding the right home is only part of the equation. It is even more important that the transaction be structured appropriately for the buyer and appropriate additional documents be prepared to anticipate or mitigate future planned and unforeseen events. This is particularly important for international transactions. The correct paperwork at the beginning is usually relatively inexpensive and excellent insurance whereas failing to harmonise taxation rules may result in double taxes and incomplete documentation, wills etc., may require expensive litigation for validation. Unfortunately, these problems are usually revealed when it is too late for a cheap remedy.