Remove Multiple Characters From Text

This may be a very simple question so forgive me for my ignorance. I have text in individual cells that look something like this (not actually addresses but same format):

Doe, John – 123, Anywhere St (Apt A), Anytown Anystate 12345

I have about 5,000 records. I would like to convert the records to look like this:

Doe John 123 Anywhere St Anytown Anystate 12345

Basically I want to take out all non alphanumeric characters and anything between curved or square brackets. In my minds eye my macro would read something like this:

Do until last character.

If character = alphanumericTrue – Move to next characterFalse – If character = spaceTrue – Move to next characterFalse – If character = curved or square bracketTrue – Delete all text in brackets including brackets then move to next characterFalse – Delete character then move to next character
Loop. I would of course create an additional loop to run down the 5,000 records.