It's my understanding that Disk Manager doesn't Move the partition but instead shrinks or stretches the end of the partition. Therefore this would not allowing you to extend your first partition unless you removed the second partition.
I agree with Nibs that with this task, a third party utility would be much easier to work with.
+1 for Partition Wizard
Partition Wizard Home will allow for you to make all your changes before applying them to disk. I have not had any troubles with Partition Wizard