Yes, just as Jim H. suggested - Winchester Small Pistol primers. Not to disparage other brands at all, but these are suitable.
Unique is, well, unique in that it is usable in so many calibers. May not be optimum, but applicable - I use it in .38 special, in .357 mag "very light" lead bullet loads suitable for cowboy action shooting (about equivalent to a "hot" .38 spl); in 9mm and .45 ACP, and have read of folks using it in "very reduced" .30 caliber rifle loads (also known as "Gallery Loads") - if you search around the web you will find an article - ok, here it is:
http://www.reloadingroom.com/index_files/Universal 30.htm - about that.
Sorry to stray so far from the subject at hand! You will find uses for Unique, it will all get shot up and you will not wind up throwing away or wasting any. Some folks say it burns dirty but I clean my guns so I don't care.
Just take everything a step at a time, check your work, be patient and methodical, and you will be rewarded with a notable absence of drama when it comes time to fire your first loads.
You want to laugh? Remember I posted about sticking a bullet in 1972 or something, and my brother got it out of the barrel? The next guy who posted is the very same brother - we were both responding to your thread at almost the same time.
Also, I should thank you. For some reason, you got me thinking about re-reading
Hatcher's Notebook - and I've been taking a few minutes to re-read the chapter on receiver failures of early-number Springfield rifles, owing to improper heat treatment. The book is a treasure and I encourage you to find it and read it. Still, reading about "what can go wrong" does reinforce the caution to work methodically and carefully.
I hope this is not too rambling and disjointed. I'm home with the flu - last time I ever skip the flu shot! - and, while not as feverish as I was, am probably irresponsible giving advice on reloading in this condition. Certainly am not reloading, in this condition (shudder!).
Have fun! This is the start of a learning experience that can go on for years and years.
Regards,
Andrew