Hi S.,
Congrats on nursing your son for this long! Around 10 months is when I started to think about how I was going to wean my son too. I didn't start until he was about 13 months old, and finished right after he turned 15 months. He was nursing about twice as much as your son though, so I bet you could do it in a month! Here's what I have told other moms!
I weaned my son when he turned 15 months. I was sure he was only nursing for comfort and was almost positive I had hardly any milk left anyways. When I first decided it was time to start weaning my son, he was nursing first thing when he woke in the morning, before his morning nap, when he woke from his nap, before he took his afternoon nap and when he woke up from his nap, and then when he went to bed. I also (admittedly) nursed him in the middle of the night when he would wake up to get him back to sleep. So 7-8 times a day. I decided to eliminate the nursings that would bother him the least first and that was when he woke up from his nap. I would offer him something to drink to distract him and give him a chance to wake himself up. He was usually cranky as soon as he woke up so that was one reason he loved to nurse then. He would be a little fussy but no crying or screaming.
The next nursing I gave up was the afternoon nap, it was a little easier because he actually started only napping once a day at this time anyway. Then I cut out the first morning nursing. He really loved this one so again I used distraction. He usually liked to watch Sesame Street at the time, so we would cuddle on the couch together and watch the show. I would get him a little snack, a cereal bar or cereal, and a drink and he would be happy until breakfast.
With each nursing I cut out I probably waited two weeks or more to cut out the next one. I thought this would be best for avoiding engorgement and also for him, so it wasn't too much at one time. I also wasn't completely ready to wean him yet emotionally.
When I finally decided it was really time to get down to business, I knew I had to cut out the middle of the night nursing. This one was really benefical to me because it was an easy way to get him back to sleep, unless that didn't work, which started to become the case. All I did was when he would wake up, I would scoop him up and give him his pacifier and rock with him in his room, sing, or whatever to get him back to sleep. Once I was able to get him to sleep WITHOUT nursing him even one night, I didn't backtrack! I think you have to be consistent and once you cut it out, you can't go back or you're sending mixed messages.
After that was done, I cut out the napping nursing. We would go into his room when he was sleepy, change diaper, brush teeth, read some stories, maybe some quiet playtime, and then I would close the blinds and we would rock in his chair. Some music playing and singing, something soothing.
Two weeks later came the nighttime nursing cut out. And I did the same routine we would do for the nap, although he takes a bath at night. I didn't have any trouble with him crying.
I think you can get it done in a month. Just try and decide which one is his favorite nursing and save that one for last. Let me know if you have any other questions. Good luck with the move and your job!
S.