Talk to me about wet-weather walking?

[TAV75]

I'd been walking 8 miles every evening over public footpaths this summer. Really enjoyed it. However now the typical British sh*te weather has come into play but I'd still like to continue.

To my mind I'd need the following items:

1. A decent walking coat. Needs to be waterproof and BREATHABLE. In the summer I just wore a T-shirt, even in the evening. Now in my woollen peacoat I'm getting wet AND hot which is infuriating.
2. Waterproof trousers
3. Waterproof walking shoes
4. Hat and gloves. Socks?
5. Torch or something similar to avoid all the dogsh*t which I could easily spot before but now in the dark I'm guaranteed to tread in.

Basically I'd like to continue enjoying the walk even when it starts snowing so the key is to be able to come back home wet on the outside but dry on the inside. If I stop enjoying it, I'm not going to be motivated to leave the warm house and come back miserable.

Could recommend the particular things that I should be looking for (I'm happy to pay for quality items if there's any brands you recommend) and if there's any websites I can read for a beginner's primer?

Thanks