I tried a bunch of different brands, but my favorite for hand applique has been Colonial Super Glide applique needles. Connecting Threads recently had them on clearance so I bought ten packages. Probably a lifetime supply as I haven't ever broken even one.
The needle is large enough to open a place for the thread to come through without abrading it, and the eye doesn't shred the thread, but it's slim enough that it's easy to pull through even glued fabric without a struggle.