Going once is really the ideal, at least if one follows traditional Eastern liturgics. There is nothing to prevent you from going to two liturgies and communing at both, I suppose, but according to tradition, one liturgy is considered ideal, to the point that if a second liturgy is to be performed in an Orthodox parish, it must be done on a different altar and celebrated by a different priest. This is one of the unusual cases you will encounter as an Eastern Catholic where what you are permitted to do is not completely consistent with your patrimony. In cases like this, it really is up to you to decide if it ultimately would be more beneficial to do what is permissible or to follow traditions which are not binding canonically. I personally would only go to one, and then perhaps pray later in the context of doing one of the canonical hours at home.