I just got the new Beis ultimate diaper bag and I am obsessed (I have 2 under 2 so lots of pack)
I would just recommend a good size backpack, we got ours from Amazon. It has straps that can attach to a pram, or to wear as a regular backpack when you don’t want to take your pram
I love my dagne dover diaper bag. I have the regular version, there’s also a large one but I have enough space for everything in the regular size!