Your apps should be linked to your Google/Gmail account, and should restore themselves automatically regardless of what ROM you're using as long as you are using the same Gmail account.
If this doesn't happen as expected upon flashing a new ROM, there's a solid option to make restoring your apps a lot easier. Eventually your apps should restore themselves without doing this but personally I want my apps ASAP after flashing to a new ROM and this has been really useful:
Use AppBrain.com along with the AppBrain android app, it's a free service. It's essentially an online version of Android Market that you access from your PC. When you sync your phone with AppBrain it will save a list of your apps to your profile on their website. You can then use it to install apps straight to your phone from your PC on their website (first you have to install an app called Fast Web Installer).
Once you get AppBrain set up, from then on if you ever do a factory reset and install a new ROM and your apps don't repopulate automatically, just go to Android Market and install the AppBrain app again, sync it with your account and you can have your apps back in minutes.
You can also get an app called AppList which will save a list of your apps as a .txt file to your SD card.
I've been using UD 8.0 as well and I really, REALLY like it.