I'm currently saving enough so that both my DC will have 6 figure sums for deposits when they are 25. They don't know this, as they are both currently under 6.
I will support them throughout their education, and will top up expenses if they go to university. I will advise them to take out maintenance loans when at uni, as I think that will make them value the education they are getting, and not drop out in a whim because they don't fancy it anymore.
If they do apprenticeships, I'm happy for them to stay at home rent free until fully qualified.
Once they finish uni/apprenticeships and are in full-time jobs I'd prefer they live at home until they are ready to buy a place. I will charge rent, probably something like £100 per week for everything, if only so they get used to budgeting, but I'll set the money aside and give it back to them when they are ready to move out.
I will give them each £10k towards a wedding/civil partnership if that's what they want.
They will inherit my house between them, which will probably be worth a couple of million by the time they are both 30.
I'd like to think I won't bail them out of financial difficulties, but in reality I'd assess each situation as it arose. They'd also have their DF to go to, though we're not together, and he earns about half of what I do, so I wouldn't have any control over this.
That's my plan for now, but may revise if it all goes bad!