Rule of thumb:
Don't keep wet but don't let them dry out too much between waterings.
Usually you use a more fine graded substrate than to Phals.
They prefer a bit higher humidity levels than Phals.
Some things I've picked up along the way:
Mottled leafed Paphs usually want less light than strap leafed ones. Phal light levels are perfect for them and they're pretty much ideal for the windowsill together with your Phals (if you have any).
Strap leafed Paphs usually want a bit cooler temps and more light than the mottled leafed ones.
Multiflora Paphs, also strap leafed, usually want more light (Cattleya levels) to flower and they tend to get big too.
Maudiae (callosum x lawrenceanum) or Maudiae type hybrids in general, are usually considered good for beginners. I started with a species Paph, an appletonianum var. cerveranum a.k.a. 'The Weed'; also good for beginners I would claim.
When it comes to multiflora Paphs; philippinenese and especially its hybrids seem to be considered easy.
I think the 'easy' ones, Maudiae etc., are are referred to as such because you can easily grow them on a windowsill. If you have a greenhouse, then maybe the strap leafed complex hybrids or the Paphs within the Paphiopedilum subgenus (villosum, gratrixianum, insigne, helenae etc.) might do better for you.
Then we have the Parvisepalum, Brachypetalum and the Cochlopetalum (sequential bloomers) sugenera that I know nothing about. I do know that Pinocchio (primary hybrid within the Cochlopetalum subgenus) is considered a relatively easy Paph.
Hybrids are generally easier than species, but there are always exceptions. I would choose a hybrid and not go full out with a bunch of species as I did. That's how you and up with a rap sheet with the orchid police (notorious Paph killer here).
Slipperorchids.info that
Jenn4a mentions is a very good site indeed.
Wait until the more experienced Paph growers arrive, since I think you've gotten most information from relative Paph newbies (I've had mine for soon 3 years now).