If they are local, as you say, then no need for an overnight stay until they are a bit older?
We see our DGC either once a week or certainly once a fortnight ( by their invitation) our DC asks if we would like that and if we are free.They pop over for a few hours, or less and we do an odd pick up or take to school now and then.
Six weeks is a long time!
Does it need to be formal? Would you be happy if they dropped in for a cup of tea and a chat?
Just had to put on a cardigan!
