Your existing 360 library and ecosystem investment tilt the analysis.
Xbox One Advantages for 360 Owners
Backward Compatibility: ~600 Xbox 360 games play on Xbox One/Series. Your digital library (Games on Demand) and physical discs (insert to download) carry over free. Saves sync via cloud
Game Pass: Includes many 360 BC titles. Play old favorites + new games for one sub
Exclusive Library: Entirely new catalog of acclaimed titles you missed
DualShock 4 / DualSense: Many prefer the stick placement and haptics
Remote Play / Share Play: Robust streaming to PC/phone/PS Vita
Key Questions
How many 360 digital games do you own? High count → Xbox One preserves investment
Do you prefer shooters/Western RPGs (Xbox) or Action-Adventure/JRPGs (PlayStation)?
Is Game Pass value ($17/mo for 400+ games) appealing?
Budget: Used Xbox One S (~$130) < PS4 Slim (~$150) < Xbox One X (~$200)
Recommendation: If your 360 library is large, Xbox One X maximizes its value. If you want new exclusive experiences and don't care about old saves, PS4 wins on software quality.