Stack it up, hub shell, new bearing, old bearing, old bearing from the other side if necessary, suitably sized socket from a socket set, preferably drive end up so you can hammer on it and get reasonably even drive.
Yeah I don't currently have a socket set but I did wonder if that would be a better bet than a proper bearing driver kit because there more likely to be able to clear the axle and have a hole that would allow them to go over the axle. That sounds like the way forward, thanks
You can use a hammer and punch, but just be sure to only hit the outer race of the bearing, if you have a washer that goes over the axle and covers the seal area that helps.
Bee sure to keep it "square" by tapping all sides evenly.
Stack it up, hub shell, new bearing, old bearing, old bearing from the other side if necessary, suitably sized socket from a socket set, preferably drive end up so you can hammer on it and get reasonably even drive.