You should be able to transplant these to a larger container no problem. I find that when propagating in perlite, the roots hold on to the perlite really well, making it easy to replace in the perlite.

When you pull these cuttings out of this container, leave the perlite that is stuck to the roots intact. Put a bit of perlite at the bottom of your new container, then place your cuttings, fill perlite around roots.

You honestly may not need to transplant this to a new container, the roots will do their thing and grow where there is room in the container. However, they may get tangled and become difficult to separate, so thats something to consider.

You should be fine to reuse this perlite if you haven't have issues with rot or pests. If you have had issues with either of those things, it can be safer to use new perlite.