I don’t live far from Tonbridge, but I know plenty of friends who live there (and enjoy living there). It’s a vibrant town, good shops, plenty to see and do in the area as well. I can’t comment on the primary schools in Tonbridge, but the ones in the area are pretty good (some outstanding).
The local grammar schools are pretty selective (my DS is at Skinners). I think that they’re also thinking of adding in a catchment area thing to how they select which kids get in (but don’t quote me on that, I can’t remember where I read about it). Skinners is a brilliant school: lovely staff and headmaster, excellent pastoral care. My DS is really happy there. I went to one of the local grammar schools, and had plenty of mates who went to TWGSB (we call it Tech) and Judd, and they enjoyed their time there....(however I was in school a long time ago! 🤣). The parents of children I know who go there now are happy with both schools.
I would def check the situation with flooding and flood plains etc, and whether that would affect house insurance - there should be a group on FB which discusses the flood situation.
I’ve never lived there but do enjoy going there (well, I did prior to covid!). Traffic can get hideous during rush hour, but Judd would definitely be walkable from where you are. For Skinners and T-Wells Grammar School for Boys, you can take bus, or take train and then walk up. I can’t remember what the bus pass costs (I ought to know, I got an email about it last week), but I’m tempted this year to skip it (luckily we live a mile away from DS school), particularly with covid.
It’s not a bad area as far as safety is concerned, and you have a massive police station right near the station, which is quite reassuring. I’ve never felt unsafe there. Hope this helps! :)