The orchids are Phals. I've added a link to your album here for others to see.
http://www.orchidboard.com/community...y-orchids.html
The first thing is that most people say that the 'just add ice' watering technique is not a good one. Some disagree, but I have to say on on the side of NOT following it. I would water with lukewarm water, watering thoroughly with lots of water then letting it fully drain before putting it back in the outer pot (I can see in the pictures that you have inner plastic pots and outer pots so lift the inner pot out to water it and ensure there is not water left standing in the outer pot after watering).
Yes you have keikis. The general guide is that they should have 3" of roots before removing them, that can be one root of 3" or multiple shorter roots that add up to 3" worth of roots. I've never removed a phal keiki, with dendrobiums I just twist them off. I think that with Phals you can cut the spike either side of the keiki.
It's good to repot every couple of years when growing in bark, when new you don't know how long since it was last repotted so it's probably good to do.
Take a look at this thread for help growing Phals. It's got some great information in it and is worth the read.
http://www.orchidboard.com/community...ends-here.html