Warm, reasonably waterproof winter coat

[LegoHouse274]

I need a coat for this winter and struggling to find anything that isn't over £150. Really I don't want to spend more than £100 absolute tops.

I want:

• Dark or bright colour
• Long enough to cover my bum (longer is fine)
• Functional pockets
• Reasonably waterproof - this seems to be the main sticking point as most places just have 'shower resistant' which I'm not convinced by. I'm going to be doing school runs all winter with a baby in a pram (so no umbrella) and a very slow walking 3yo, and I live in a rainy place and hate the rain! I want to stay as dry as possible
• Warm

Any suggestions?

Look in outdoor shops?
They will be much more likely yo be waterproof.
Eg
https://www.cotswoldoutdoor.com/p/didriksons-womens-helle-5-parka-B11ACB0189.html?colour=124&utm_source=google&gad_source=1&gclid=CjwKCAiA3Na5BhAZEiwAzrfagHmZHjnc5PUADxSlzSLflHNGedhnvMVGIV5c09i6iNr_PLRtxQVlbxoCOLkQAvD_BwE

Sorry that's over £100, but there will be cheaper brands and look for the sale prices

https://www.cotswoldoutdoor.com/c/womens/jackets/lifestyle-jackets.html?size=48&page=0&sort=price%252Casc&filter=%2526filter%253Duk_a_technicalfeatures_grouped%253A%25281830%2529

North Ridge do a coat that might fit your needs. Was at Go Outdoors for £100.

Also check out Craghoppers. Usually a reasonable price.

I've got an awesome coat from La Redoute, an oversized parka, waterproof, and soft inner, they had several and delivery was within a week

I'd get a north face arctic parka on vinted. They sell for under £150 in vgc.