Help! Which pram for living up a steep hill?

[JoMcSurrey]

I'm due in May and need help, there's too much choice and I'm clueless! Any thoughts gratefully received for a good quality pram/travel system for up/downhill, around town and down the fairly narrow alleyway (with quite a tight corner!) at the back of our house.

My first thought was don't get a traditional pram/carrycot style as a friend who did said her baby kept sliding down the carrycot and she had to put a cereal box under her feet!

I've got a bugaboo bee, and in a city with lots of steep hills. It lies flat, can be parent facing, is relatively lightweight and baby is strapped in, so no cereal boxes needed. It is narrow, manoeuvres really well, and also ticks your box as a travel system as the car seat clips on top.

Instep nipper 360 - or baby jogger summit x3.