I've washed cider yeast several times, and reused for another batch times with no issues. It is not recommended to use yeast from cider in beers. Once it gotten use to the simple sugars in cider, they don't do well with the complex malt sugars in beer.
I'd recommend washing the yeast, by boiling a 1/2 gallon of water for a few minutes to sanitize it and remove some of the oxygen. Let it cool to 80 F or below, dump into 1 gallon fermenter and swish around to get all the yeast in suspension.
Let it sit for 10-15 minutes so the heavier stuff settles to the bottom
Decant the liquid off the top into sanitized containers, seal and refridgerate. I use mason jars cause we always have them around but you can use beer bottles or anything you can sanitize and seal really.
Yeast should last several months if kept cold. I like to do this for almost all the white labs\wyeast strains i buy to save money.
When it comes time to use them, make a starter. For ciders i generally use 2 cups of apple juice & 1 tsp of yeast nurtient. ( 5-6 gallon batches)
Pour off about 75% of the liquid in the yeast jar, then shake to get the yeast mixed up. Add to your starter, and let it go for 24-48 hours before pitching.