Going from 1 child to 2 children was way easier for me then going from no children to 1. But also my eldest, DS, was a nightmare baby who wouldn't sleep or settle.
The things that are noticeably different:
1) This may sound horrible but I found the milestones and firsts of everything weren't so dramatic and surprisng. Baby 1 got first tooth and it was incredible and then when baby 2 got a first tooth it was more 'meh'. Don't get me wrong it is still special but doesn't come with the fireworks too
2) You definitely don't get as many gifts or fuss which I preferred actually. I was more or less left alone to get use to my new baby. I have bags full of cards and stuff from when DS was born but only a little envelope of cards from DD.
3) Each baby is likely to be different. Swing was a lifesaver with DS but DD screamed the whole time in it. Capsule was a lifesaver with DS as well but DD never went to sleep in the car.