Welcome to BYC! Please make yourself at home and we are here to help.
Sorry about the farm loss!
You've received lots of breed suggestions above. There are very many choices and it probably seems overwhelming but luckily it's not very hard to choose once you have narrowed down what you want.
Since you don't want flighty breeds, avoid breeds listed as wild and light. Some of these include leghorns, sebrights, anconas, sex links, wild bantams, etc.
The breeds that will fit your needs best include: buff orps, (my favorite as they are super kid friendly and lay very well) black australorps, EEs, speckled sussex, (make sure to tame these birds while young) barred rocks and silkies.
Buff orps are affectionate, great layers, hardy, friendly and curious. Black australorps are basically the same as buff orps. EEs are a little more independent but are still docile, funny and good layers. Speckled sussex is a very curious and happy go lucky bird. They can be a bit wild if you don't tame them when young though. They lay well. Barred rocks are friendly, curious and good layers. Silkies might be the best kid friendly chicken breed out there. They are super affectionate. They are, however, not good layers and good broody all the time.
Good luck and welcome!!