-I've got 4 children and never do 9 loads of washing a day! I don't even do a +quarter of that with a household of six.
The dummy will be key here. Also:
- Adequate winding after a feed.
- Rousing slightly after a feed (by winding)
- Settling baby to sleep in cot/separate from you
I will try to remove him from my breast after an hour of sucking, with no swallowing happening anymore, and he wakes up and frantically searches for it again
This is the most telling sentence. It tells me you aren't winding baby after a feed (if baby is still attached to nipple). It tells me that baby is falling asleep on you (so he wakes when moved). It tells me baby takes comfort from sucking (so dummy will help).
Dummy
Dummies are NHS recommended to reduce SIDS and help with reflux. Not all babies will naturally suck when a teat is placed in their mouth so it may take some perseverance to get him to 'get it'.
He pushes it in and out of his mouth before spitting it out - this is what babies do when they don't 'get' that they should be sucking. It just takes for him to randomly fluke sucking rather than spitting it out, then it's like a eureka moment. I had to work hard for 7 solid weeks until DC4 understand how to use her dummy. Do not assume "he wont take a dummy" on the basis of occasional tries. It needs persistence.
Being Sick
This could be reflux related. But if you are not recognising when a feed is finished then it could be simply air in stomach bubbling to the surface whilst lying down - which induces vomiting. It might be that by recognising the end of a feed and winding properly, that the being sick reduces or stops completely.
Ending a Feed & Winding
You need to stop a feed as soon as it's finished. Baby doesn't need to be asleep, sucks don't have to have completely stopped for the fed to finish.
When finished, baby is likely to be drowsy. Lift onto your shoulder and rub his back. Then when you have had a burp or two, put baby down to sleep.
Settling to Sleep
Moving a fast asleep baby will always be a nightmare. The key is to getting baby to fall into that deep sleep where you want them to stay asleep. I would recommend a bouncy chair for daytime sleep (allows for movement to sooth to sleep) then a bedside cot for night time sleep (full sized cot with one side removed).
So feed to drowsy, then lift onto your shoulder to wind. This rouses baby slightly so not in a deep sleep but still sleepy. Then baby move baby again to cot or bouncy chair.
Dummy. When you take nipple out of mouth put dummy in. When in bouncy chair or cot gently hold it in his mouth. You wont need to once the dummy is excepted. Work on it all the time, it will be worth it a million times over.
Settle baby in-situ. The problems you are currently having is caused by baby sleeping on you then you moving him. Into bouncy chair (in daytime) and bounce, bounce, bounce, bounce that baby into sleep submission, reinserting dummy as needed. Night time I would swaddle for that feeling of safe security. Or shush and pat. Cuddle right into bedside cot.
Stop trying to move a sleeping baby, you'll always lose that battle. Instead move a drowsy baby to the place he'll sleep and settle him there.
Daytime Naps
Baby needs lots and lots of sleep, don't restrict daytime sleep. Baby at the age should not be having more than 1 hour awake between naps in the daytime. and should be having 16-20h sleep in 24h. I would also aim to feed 2 hourly through the daytime to 'calorie load' as much as possible.
Feeding
If all the above doesn't help then you might want to look at your feeding. If he is vomiting a lot of milk up, then it follows that he is receiving fewer calories and so will need to increase your supply. Hungry babies cry a lot and have disturbed sleep - this is harsh for a BF mother to hear but shouldn't be dismissed.