Gift bags for other passengers sounds nice, but not necessary. It’s a little too much. It would cause more stress to pack and handout, and a lot of other passengers may not want it (so now you’re imposing on them “here, I insist, take my gift bag!”)
I agree with all of the other advice so far. Not a big deal to take baby on flight. Be prepared with bottles, formula/milk, snacks, diapers, etc, all in a carry on bag. When your kid cries you hold, soothe, give milk. Normal parent stuff, but you will spoil your kid a bit just to avoid meltdowns on the plane.
For takeoff and landing have a pacifier and bottle ready to soothe the child.
I’ve done the US - Taiwan round trip multiple times with three kids under 5 years old. It’s not as bad as you might imagine. If the kids ain’t crying it gets a bit boring.
My personal tips for traveling with children:
Get a direct flight if possible, or no more than one stop.
If you have a stopover somewhere (change planes) then this stop should be not too long or short. I like at least two hours to change planes because everyone needs bathroom, food, diaper change, find the next gate, etc. One baby is easy enough because you just carry the kid everywhere, or push in a stroller.
Use a stroller! Instead of checking the stroller with your luggage, you push it right up to the airplane, and the crew will tag it and put in the baggage hold. At your destination the stroller is first off the plane, and waiting by the exit door.
Maybe consider signing up for global entry or whatever TSA program gets you through customs fast. Sometimes the lines at LAX can be really long, and I’ve seen people who are “pre-approved” skip the whole line and breeze through customs check.
Enjoy the trip! Everybody loves babies. (And people who don’t love babies aren’t worth your attention.)
Edit to add: I try to get the bulkhead seats so there’s just a wall in front of you (or a weird seat with no passengers in front of you). This way you can drop stuff and make a bit of a mess without too much worry.