Have you tried any baby-wearing back carries for when you're cooking or doing laundry? I could put one of my girls in a sling, then slide her around past my hip and to the back. You can do that for a teensy one by putting him in as usual, only head toward your hip rather than shoulder. When you slide him around, he'll be head up. Once he's sitting up in the sling for a hip carry, you just slide him back in that same sitting position. That carry was a freaking lifesaver for me with Anika.
It's really easy to do, but hard to explain. You're not sliding the baby, you're sliding the sling on your body - baby's just moving along with it. Just grab the sling at your shoulder and tug. Maybe put your other hand under him to support his weight so the sling will slide more easily and you can feel where he ends up so you're comfortable that he's secure.
Or if you're using a wrap or a mei tai, you can do a "Superman toss" to get him on your back, then truss him in. I've seen people do that with waaaay tiny ones, though I never got the hang of it until my girls were about 11 months or so.
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It's really easy to do, but hard to explain. You're not sliding the baby, you're sliding the sling on your body - baby's just moving along with it. Just grab the sling at your shoulder and tug. Maybe put your other hand under him to support his weight so the sling will slide more easily and you can feel where he ends up so you're comfortable that he's secure.
Or if you're using a wrap or a mei tai, you can do a "Superman toss" to get him on your back, then truss him in. I've seen people do that with waaaay tiny ones, though I never got the hang of it until my girls were about 11 months or so.