Those hospital blankets are the best for swaddling, wrap them tight, they prefer it that way and helps them feel secure and sleep. I was very good naturally at wrapping my kids up like baby burritos, something I remember even when I have forgotten much.
Don’t stress over anything, they really aren’t as fragile and delicate as you and your lady think and they definitely aren’t as fragile as the grandparents think lol, the first child always gets handled with kid gloves and you will worry about every little thing, but by the time the second kid comes along you will have grown wise.
For example, I co-slept with both mine at times, despite warnings from many, and it helped with bonding I feel, obviously you have to know yourself, if your the type that sleeps like the dead or if you sleep like a soldier with a bit of constant awareness.
Honestly raising a baby is a piece of cake, though the diapers, crying, and sleep deprivation is not enjoyable at times, just stick it out, and savor these simple times. Things get much more complicated faster than you think, once they start going to school and have minds of their own, you have to navigate a veritable minefield on a regular basis and you will miss things like them taking naps or being content with just discovering the whole big new world every day.
If regards to bathing, if your the type that likes hot showers and baths, make their water cooler than you like it, it doesn’t have to be perfect, but it’s better to err on the cool side than too hot on sensitive skin. My kids mom had that problem as her idea of just right was too warm for little ones.
When my son was born I bought a knife to commemorate, better than any baby book, but still not as valuable as those hospital baby blankets lol, I can’t stress that enough, those things are awesome, they wrap the best, they are perfect for spit ups and such which will happen, they are the infant version of a military woobie.
Congratulations and enjoy being a dad, it’s pretty great at the end of the day and you will be great at it if you just follow your gut.