Cheryl, lots of people fail with Phals, even this group who grow lots of orchids. They can be pretty finicky.
The culture sheet Ursula sent is very basic and there are some other tips I'd offer - first they really don't like to be moved around, so find a spot for that plant and keep it there unless the temperature or light becomes too much. I'm growing them in Florida and I keep them as cool as possible without living indoors. You're probably hotter than me, so you'd most likely need to keep it indoors for temp control.
Second thing, Phals do what I call their "diva act" where they will suddenly start to shrivel up their leaves. Don't panic when this happens! Nearly all of mine have done this once or twice and they do recover from it. Just mist the leaves with water daily and water a little less through the pot.
The culture sheet mentions the danger of crown rot from water sitting in the cup of the leaves - you can prevent this if you slant the whole plant when you re-pot it so that the water naturally runs out of the crown and will not sit in there. The plants grow this way in nature, or on vertical surfaces with the leaves hanging down. (the flowers naturally will cascade, too)
If your plant is in a glass cube (I've bought a few that were in those and rehabbed them) yes, take it out of there soon. There's probably a big wad of soggy sphagnum moss in there. The danger in re-potting the plant while it's still blooming is that it will protest by dropping all its buds. I'd gently remove it from the cube but don't disturb the root ball too much until the flowers are done. Maybe place it in a basket? Then take off all that moss and re-pot using orchid bark and a pot with lots of holes, in the sides as well as the bottom. The bark comes in a bag from Lowe's called "Phalaenopsis Mix".
I like those glass cubes as vases, but for potting orchids??? Death traps!
The most important thing with Phals is to remember they are epiphytes, not terrestrial plants so they really want air around their roots. Your plant will very likely start growing roots above the potting medium, and even sticking them up into the air. Don't feel you need to cover these, they're collecting nutrients and water from the air.
Here's one of my current bloomers, see the crown slanted, roots up in the air and the vented pot? I cut the vents in this pot myself, but you can get them at Lowe's with vents in the sides.
(edited to add) Healthy roots look pale green and smooth like those in the picture. They turn darker green when you water them. (be sure to wet those roots above the ground) When they're growing they have shiny darker pointed tips too. When your orchid starts to put those roots out, it's a sign it is happy.