Since there is a lot of discusion about the shared HP pool, an interesting application of it is that whatever heals you, is basically healing your Eidolon as well.
So, Potions/Elixirs have the inherent problem of basiclaly "touch range", something that you can bypass, since you can be 100ft away drinking your Elixirs of Health and Condition removals and casting Boosts, and keeping the HP pool of the Eidolon up while you are safely away.