MIT and Apache are functionally equivalent.
When you say "private use" what do you mean?
Do you want others to be able to use your software? Modify it? Have access to source? Do you want any money for any of the above?
Updated:
You're going to be installing it for
other small businesses...
I suggest you think long and hard before rejecting use of a free open source CMS such as Joomla. Writing your own "simple cms" is a recipe for unhappy customers who will always want something "small" added or changed.
But the main issue to think over is your business model: how will you be supporting your software? Answering change requests? Do you want your customers to be able to change the software on their own? With the help of someone whom they'd hire? Do you want your customers to be able to share fixes and improvements that they've made with each other?