Convert string to Date in javascript

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Javascript

Hi,
I read a date from Calendar control in a variable. The date may be in format dd-mm-yyyy or dd/mm/yyyy or mm-dd-yyyy or mm/dd/yyyy.
Then in another variable I get today's date.
How to convert the date value in string variable to mm/dd/yyyy format so that I can compare the two dates?
I want to check which date is bigger.

Here is my code

var date = objParam[0].value;
var todaysDate = new Date();
todaysDate = todaysDate.getMonth() + 1 + '/' + todaysDate.getDate() + '/' + todaysDate.getFullYear();

if (date > todaysDate) {
    alert("Please select the valid date");
}

Any help appreciated.

Thanks,
Lok