Apparently Justin Bieber and Hailey Baldwin HAVEN'T chosen their forever-home yet ... they're still looking!

Hailey -- decked out in a brand new Louis Vuitton logo biker jacket, skinny jeans and Yeezy stretch ankle boots -- headed to the west side of LA to scope out a brand new home in the tony town of Brentwood. Listed at a cool $15 million, the modern farm-style house boasts 5 bedrooms, 8 bathrooms, a movie theater, library and even a car lift so 3 cars can fit into a two-car parking garage!

Hailey made a quick pit-stop at Alfred coffee for some java before heading to the showing with her bodyguard and chauffeur who stood guard outside the estate as she toured inside. Click HERE to see a gallery of this AMAZING home!

On Thursday, Baldwin went to an event planner to start organizing her wedding ceremony. Her mom Kennya is in town to help -- clearly this young couple is on the fast track! Wedding ceremony, new home, all at the same time!