Olivia Wilde Staying at Harry Styles' L.A. Home, Head to England

A source recently told PEOPLE that Wilde and the musician "seem very serious" and "spend all their time together"

Olivia Wilde and Harry Styles' Relationship Timeline

Olivia Wilde while running errands in LA after news she and Harry Styles are shacking up

What next for Olivia Wilde following 'split' from Harry Styles - will she still move to London?

Harry Styles and Olivia Wilde Spotted Out in London

Olivia Wilde moves her belongings into Harry Styles' LA home

Don't Worry Darling' Timeline: Olivia Wilde, Harry Styles

Inside Olivia Wilde's Relationship With Harry Styles

Olivia Wilde Spotted After Harry Styles & Emily Ratajkowski Drama

Olivia Wilde, 36, and Harry Styles, 27, will head to England together with her children 'soon

Harry Styles and Olivia Wilde break up after nearly two years together

Inside Olivia Wilde and Harry Styles' jaw-dropping $2.4m LA home - see photos