I recommend doing the braces first and then the crowns an exception to this is if your teeth are so bad you can't put braces on and then I would suggest putting the crown on first good luck Kevin Coughlin DMD, MBA, MAGD CEO Baystate Dental PC
Orthodontics first, then crowns is the general rule for most people. There are exceptions to the rule, but generally it is better to line teeth up in their proper angulations and locations then do crowns afterwards. This method will allow your crowns to have minimal reduction of your natural tooth and will look closer to a normal tooth because the dentist will not have to overbulk to make teeth look 'right'. Good luck!