Shameless plug for stuff I’m trying to Sell.
If you are happy with second hand, I have a complete base pram/Car seat/ carry cot and buggy board from Jane. Its the Jane Slalom Pro set. It is in excellent condition. Its got everything you are asking for plus DISC BRAKES!!!!
It has been great and the brakes really help when your going down a steep slopes in Sheffield. Suitable for children age 0-4, non smoker and pet house and its all been machine washed as all the covers come off.
Absolute bargain at £100 (Cost over £600, 4 years ago) as its taking up space. Its red so you know that’s faster.