Does a Menorah require Geniza?
A Menorah [whether used with oil or wax candles] does not require Geniza, and may hence be discarded in the garbage.
Do the glass bowls which hold the oil require Geniza?
The glass bowls that hold the oil may likewise be discarded, although it is an act of piety to not discard it in a belittling area. [Thus, one is to wrap it in paper or a bag prior to throwing it out].
 See Admur 21:1 regarding Tzitzis and Admur 638:19 regarding Sechach. Admur ibid rules that Tzitzis [Tashmishei Mitzvah] may be discarded and it is only an act of piety to not discard them in a garbage and place it in Geniza. Now, in 42:6 Admur rules that “Ner Chanukah” is considered Tashmishei Mitzvah. Nevertheless, seemingly this only refers to the actual vessel that holds the oil. However, the Menorah itself which holds the glass bulbs of oil is considered Tashmish Tashmishei Mitzvah which has no holiness at all, and may be discarded according to all even in a filthy area. [See Piskeiy Teshuvos 154:3]
The law by wax candle Menoras: Seemingly, even a wax candle Menorah may be discarded, and there is no act of piety to avoid doing so, being that the wax does not need the Menorah to hold it, and one can simply place it on the ground. The Menorah is thus considered Tashmish Detashmishei Mitzvah. Nonetehless, in truth this logic is not Halachcially accurate, as the determining factor for Tashmishei Mitzvah is not whether the Mitzvah is dependent on the item, but simply that the item made direct use with the Mitzvah, and hence by a candle Menorah there is room to learn that since the Menorah itself directly holds the candles, then the Menorah receives the status of Tashmishei Mitzvah of which we rule that it is an act of piety not to discard it in the trash. [See Admur 42:4] Nonetheless, this argument can be negated with a counter argument that in truth only the first 30 minutes of the candles are considered the Mitzvah of Menorah, while the remaining wax is mundane [See Michaber 677:4; Halacha 20D!], and hence since only the bottom tip of the wax touches the Menorah, and that area is not considered part of the Mitzvahg, it ends up that the Menorah never directly touches the Mitzvah area of the candle, and it is hence only a status of Tashmishe Detashmishei Mitzvah, of which we rule that even initially it may be discarded.
 See Admur 21:1 that Tzitzis [Tashmishei Mitzvah] may be discarded and it is only an act of piety to not discard them in a garbage and place it in Geniza. Now, in 42:6 Admur rules that “Ner Chanukah” is considered Tashmishei Mitzvah that may be used for mundane matters after the Mitzvah. Now, this seemingly only refers to the vessel holding the oil, as the oil itself and the wicks must be burnt after Chanukah and may not be used for any mundane purpose. Accordingly, Admur here is saying that the vessel holding the oil is Ner Chanukah and has a status of Tashmishei Mitzvah. Thus, although it is permitted to discard the glass bowls, it is an act of piety to not discard them in the garbage, just as we rule regarding Tzitzis in 21:1.