Neither license will put anything in the way of your product, or your ability to sell it.
Free software licenses don't put anything in the way of being able to sell commissioned software.
Under any free license, you are always allowed to create software built upon it, and either license it to your customer, or transfer the copyright to your customer.
If your customer is not planning on distributing the software, but just wants to use it, the only license that could be problematic is the AGPL, which mandates that they must make the source available to people they let interact with the software over a network.
If your customer is planning on distributing the software, the GPL may be problematic because it mandates that they distribute it under the GPL.
As a note, there are many people who mistakenly believe that anything "that touches GPL code" becomes GPL. This is not true, but could be a hindrance if the product were GPL, and your customer does believe that.
The MIT/Expat and BSD licenses are both permissive licenses, and poses no restrictions on distributing your propriety software based on these libraries/frameworks at all.