Rather than just giving you an answer specific to this situation, let me get you to think like a designer for a bit. Design should be functional first, then beautiful second, so let's think about function:
1) Question everything. What is a splash screen? Why does it exist? What do you want the user to get out of the splash screen? What do you want to accomplish with it?
2) Look at the best. Big companies who spend a lot of money on software make some nice splash screens. Read about Adobe's here and look at a showcase of iOS splash screens here for some inspiration.
From there, maybe we can answer some questions. Ideally for the user, the splash screen doesn't exist. It's a barrier between me and the software I want to use. Netscape used to have a splash screen; I'm glad Firefox doesn't today.
But if it must exist, its main purpose is to show the user that the application is loading. To that end, I think it's nice to see what is loading. Adobe and Office do this, so I get a sense of progress. There's something comforting about a subtle spinning wheel, flashing dots after "loading", or a real progress bar - it's assuring me that things are moving towards the goal. However, if you look at how people do it, they don't make the "Loading" text and info the most emphasized part! Strange, right? But it makes sense. The user doesn't have to have his face beat in with the fact that the software's not loaded yet, and the software company has a great window to create and emphasize the brand.
So, from a functional standpoint, you've now come to the realization that this screen should 1) be there for as little time as possible, 2) plug your brand, and 3) show that it's loading but don't overwhelm the user with it.
Now, with those goals in mind, make it look good. Scott and KMSTR have shown some solutions. Both handle the logo and brand name well enough, though I prefer how KMSTR keeps the loading text for reasons I talked about above. The better you can make the whole thing look, the more you can distract the user from the fact that the software hasn't loaded yet!