Help resolve a 2-into-1 system dilemma

We are running two separate systems through one CD player, and just switched from a Jolida JD-100A to an Audio Aero Prima. The Jolida had two sets of RCA inputs, while the AA has only one, and a set of XLR inputs. Neither amp we have has XLR jacks, so we have only one amp connected at a time.

Is there any accessory or method for connecting both amps through the Audio Aero at the same time, or am I stuck having to physically switch the IC's each time I go between them?

Thank you,
Howard