That is a cymbidium you want to repot. I would peal back the brown old leaves. I bet the Pseudo-bulbs under it are still alive. They are just referred to as back-bulbs. If the P-bulb is still alive then leave it attached it help nourish the plant.
Let me know what kind of information you need about it..I got it at lowes about a year ago (it looked WAY better than it does now). It lives in that window and gets afternoon sun...about 1pm-6pm I think. It gets watered once a week...I havent repotted it since I got it, hence the plastic pot its in. It lives inside with a temp range from 70-75 and then whatever the sun heats it up to in the afternoon...and in the next window over is the other two orchids. ...not sure what else you need to know, let me know!
Cymbids can take the heat and can take the cold. Put that baby OUTSIDE!! Repot it into a slightly bigger pot. It doesn't really matter clay or plastic. I have mine planted in dirt and bark mix. You can go with a peat/bark or mulch mix. I tell you I sent some to my grandparents in Fla and told them to plant them in the ground. They bloomed last spring. They grow them in the ground in Cali. They like to stay moist. Once a week in the house is way to little. My phals in the house down here in GA get watered every 2-3 days min. Cymbids take a lot more water. Hense the ability to be planted in a free draining dirt mix.
When you move it outside put it someplace to get full morning or full after-noon sun. Protect it from mid-day noon sun for the most part. Leave it outside when the temps drop. It can take as low as about 38-40. Mine even survived a freeze last year because I forgot them. Granted they look ugly now but they survived. So low 40's to be safe. They need the cold to initiate blooms for next season.
So to sum it up. Re-pot the plant and check the bulbs. If they look plump and full just with the old leaves on the outside leave them alone. If they are shriveled and dead then you can trim them. Then plant them in a pot with peat or dirt/bark or mulch. In about a 1:1 ratio. You want a good moisture retentive mix that holds water well, but does not water log. You want to keep them moist and you want to give them good strong light. Protect from mid-day noon sun, but full morning and/or full evening. You want a temp drop into the low 40's at least and they can take the heat of 100+ degrees. Very wide temp range. They just definitely need the temp drop to re-bloom.
Cymbid care, just a little variant to what I told you.
Carter and Holmes Care sheet
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Cymbid repot video I could not embed
And this one is on repotting Phals
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He talks about rotted and dead roots. He uses a heavy peat mix that I do not recommend for Phals.