iPhone user here. iOS does not allow wifi to wifi hotspot. (aka Wifi repeater)
Looking for the cheapest Android phone to do that.
About 1 day battery life would be good.
Need a portable device that I can carry around
Clarification:
Ok: Mobile (4G) to Wifi hotspot works fine on iPhone
Not ok: Wifi —— IPhone >>> share wifi to other devices
Pocket WiFi modem for less than $40.
https://www.ozbargain.com.au/node/818093
Telstra locked but works with Boost Sims
Edit: just re read your question. Why do you want a phone to act as a WiFi repeater? Why not buy an actual router (eg GL Inet or similar)