There are two schools of thought when it comes to left handed ukulele playing. One school says that left handed people should just play the ukulele right handed – the thinking being that both hands are equally important. However, I’ve only seen that argument advanced by right handed people.
The alternative is to swap the order of the strings around. Because of the way the ukulele is strung, it shouldn’t require you to adjust the ukulele itself in any way. For the effort it takes to change the strings round, I think it’s worth doing it this way.
If you want know what order the strings should be in, I wrote about it here: how to string a ukulele.