Swing bouncer chair recommendations

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My 3 week old likes to be straight up and down because of his reflux. The only thing that makes him happy right now is to be held that way or to be in the ktan wrap up and down. It's hard because as a 3 week old he cant hold his head up in his own. Is there anything I can get for him that will make him more upright? We have the mamaroo, a bouncy chair, and a rock and play. None sit up enough.