Hi J.!
I hope I don't disappoint you when I tell you that this is TOTALLY normal for a 1 year old :O) Majority of us mommy's have/had this same late-night issue, it's only the "lucky one's" that have the perfect sleeper right away :o)
It sounds like you are doing everything just perfectly! Especially when you keep putting him in his own crib. I let both my boys sleep with me for along time, but it was always nice to have them used to their crib, too. Plus, if you decide to make him "crib only" you are already on your way. But, for now, let's get back to the issue here.... not sleeping through the night...
Usually, a great sleeper is developed in the daily "routine". The same naptime, awake time, eat time, sleep time, etc..... So, if you have this routine pretty solid, then he's just growing too much to let you sleep all night!
But, if his routine is not perfected yet, then you need to work on it so he becomes a more routine baby which will lead to a sounder sleeper. I found that I usually let my babies sleep as long as they wanted in the morning, but after I started to "make noise" at the same time each morning, they would begin to wake up at the new earlier time. This earlier wake up time, made an earlier naptime, then eventually made a better/earlier bedtime. My oldest didn't sleep through the night until he was like 3 or something wild! But my youngest began sleeping through the night around 1 1/2. Probably because I had more practice by then :O)
In the meantime, I forced myself to become an actual "morning person" instead of burning the midnight oil. This helped MY schedule, too, and in turn I was able to help keep my son's schedule. It all goes hand-in-hand, as I'm sure you are learning :O)
For now, your son just misses you during the day, so he is truly adjusting right now. I believe that he is also just hungry, so have that bottle prepared so it's easier on you :O)
You can always try to have 2 smaller bottles ready for him, this way you can "shorten" his feeding. If it's not enough, then you have the 2nd backup bottle. Maybe he is just needing the comfort from you, and is not really hungry at all??? I tried that, but my boys were just plain 'ole hungry! :O) But it's worth a try.
J., keep trying to take care of yourself, too. It gets tiring on the mommy to get up each and every night. Try to get plenty of rest whenever you can.
~N. :O)