I would say there are two possibilities......#1 they are bloom spikes, and if they turn out to be that, do not repot until blooms are gone. #2, they could be new pseudobulbs, and if that is the case, now is the time to repot. Its always best to repot just as the new growths start, and before new root growth starts. The new root tips are almost like jelly, and a bruise to the tip usually means that root stops growing. If you get the plant potted up and settled into its new potting mix, then the new roots will grow into the new mix and the plant will experience much less potting stress.

Bill

Agree with Bill, however they look like new growths to me.

Jane

You may want to wait a little while longer to figure out if you have spikes or just new growths. Many Coelogyne produce spikes from the unfailing leaves of new pseudobulbs. Here is a picture of my Coelogyne usitana with a spike emerging from the new growth.

hopefully it is clear enough to differentiate the green bud from all the other green.

I wanted to update that the growths from my first photo turned into blooms!

Swoon. I LOVE this plant :)

Obligatory photos

This is a beautiful orchid. Congratulations on getting it to bloom.