thats spot on Smile the routine that you have with him.
what a lovely dpup! 
dpups are generally not keen on being out in wet/cold/windy. they lose heat fast and instinctively want to get back into the warm, but if you can find a sheltered spot and chat and walk with him in just sniffing around he will naturally feel the urge to wee, especially if you've lifted him straight after a sleep, or food.
You should notice a change in his focus. Some can look quite agitated before a poo, sometimes some spinning around, but with a wee little dpups litterally just drop en route and out it comes! mid-walk without any sign at all, you just have to be quick.
I would be worried about a dpup of this age not relieving itself all night!
and this bit i don't understand about crating because i've never done it, but it is extremely stressful for a ddog /pup to be put in a situation where it wees in its own sleeping quarters (if its been bred and reared well), and this could put a lot of strain on little dpups bladder/bowel. I guess it depends on the crate size, put something (whethe ryou use a pad, or some newspaper, at the furthest point away from dpup).
It is jolly hard work though a lot of it being vigilant and patient, and not getting to stop!
its early days and I'm sure you will get there 
re: strong cleaning products, these are definitely to be avoided in areas around young animals/animals generally as they are incredibly strong and can set up reactions. I would advise using as mild as you can get away with.
have a lovely weekend with your dpup 