"They are really happy," a source tells PEOPLE about the cute couple
Credit: Christopher Polk/GC

It’s only been four months since they were first spotted together, but Lea Michele and Matthew Paetz are getting serious.

The Glee star’s boyfriend – an aspiring actor and model – has moved into her Hollywood Hills home, PEOPLE confirms.

“They are really happy and they make a great team,” a source says.

After meeting on the set of her music video for her single “On My Way” in April, the two have since vacationed in Italy and Cabo together and are often spotted hiking in Los Angeles.

Last month, Michele, 28, and Paetz got cozy at Justin Timberlake‘s 20/20 Experience concert in L.A.

“They were super sweet and affectionate, taking selfies together and hanging out with a group of friends,” an onlooker says.

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