Tuomas,
to change your eaps link without downtime,
open the ring in the eaps on the link you ant to change (unplug or disable the port),
take care, the secondary port forward the traffic,
cange the configuration of the eaps and the vlan on both the device intrested by the link,
an plug again the new 10G link, and check the convergence of the eaps.
Easy and safe 😉
Roberto