2.5 month old nighttime chaos

My son is 2.5 months and bedtime for him/us has been absolute torture. I’m trying my best to do a routine and can say confidently that I am failing miserably. First fail is that I cannot seem to get him to get into a deep sleep earlier than 10-11pm. I’ve tried on multiple occasions to start his bedtime routine at 8pm because from what I’ve read, that is what is appropriate, and we are up until almost midnight regardless. He starts off calm and then screams bloody murder if we try to put him to sleep. This absolutely results in an overtired baby and frustrated parents. We try to keep the routine simple: change diaper, little massage with lotion, put on PJs, nurse, PRAY for sleep. All goes well until the sleep portion. What am I doing wrong? He is exclusively breastfed, and still wakes up every 2-3 hours to breastfeed. I don’t mind to be honest, but trying to get him back to sleep is a struggle because he just wants to be on my chest. He is so inconsistent with his sleep. During the day he is a doll. He will wake, eat, play, sleep, and repeat. When it turns night time, god help us. ANY advice? I almost dread nights because they are just so difficult. Thank you in advance!