You'll probably end up with a variety of options. I started with a yepp mini (front) which was a lot of fun, you can still use the rear rack, but they grow out of it pretty quickly. I then picked up a basic hamax second hand and a spare mount and that's pretty convenient for nursery runs and has a much longer usable age range but takes a little getting used to balance wise. It's a pain trying to fit a pannier on the back rack at the same time, but just about doable - for less stress I ended up getting a tubus front rack. A trailer is really great though, (we have a knackered old burley) especially for journeys where they might fall asleep, or you've got multiple school bags and work stuff, or you're going to the supermarket, or it's raining, or it's cold. We both have a mount for that too that's not intrusive to fit, so one can do drop off and other pick up. We use that more than anything.
You'll probably end up with a variety of options. I started with a yepp mini (front) which was a lot of fun, you can still use the rear rack, but they grow out of it pretty quickly. I then picked up a basic hamax second hand and a spare mount and that's pretty convenient for nursery runs and has a much longer usable age range but takes a little getting used to balance wise. It's a pain trying to fit a pannier on the back rack at the same time, but just about doable - for less stress I ended up getting a tubus front rack. A trailer is really great though, (we have a knackered old burley) especially for journeys where they might fall asleep, or you've got multiple school bags and work stuff, or you're going to the supermarket, or it's raining, or it's cold. We both have a mount for that too that's not intrusive to fit, so one can do drop off and other pick up. We use that more than anything.