All other things being equal, and they usually aren't, recurves draw a little more smootly because of the configuration of their limbs. Compared to longbows, they start the draw a little heavier and don't build weight as fast near the end of the draw. That's because the recurve tips open up, keeping the limb tips from being drawn closer together, which is what causes stack or increased weight build-up. However, hybrid longbow limbs like the widow's behave almost like recurve limbs. Because recurves have more mass in the riser, they absorb more of the excess limb energy yielding less hand shock. Most recurves also have centershot arrow shelfs or shelfs cut past center, whereas a lot of longbows are cut 1/8 inch from center, resulting in the recurve being able to handle a wider range of arrow spines, making it a little easier to tune. If you look at the scores at most trad shoots where they have recurve and longbow classes, you'll usually find more higher scores shot with recurves. I find the longbow easier to put into action quicker for hunting and thus shoot longbows almost exclusively. It's a personal choice thing. You'll probably have to shoot for a while and shoot a few different style bows before you develop a clear preference. Good luck.
I believe Three Rivers offers a hard case for recurves. Rifle cases are long enough to accommodate most recurves of 60 inches or less.