Orlando Bloom and Katy Perry Are 'Slowly Planning Their Wedding' After Moving in Together: Source

Orlando Bloom and Katy Perry are moving forward with their relationship one step at a time.

A source close to the actor tells PEOPLE that the newly engaged couple — who recently moved in together — are “slowly planning their wedding,” but “they don’t have a date yet.”

“Their past weddings were, of course, very different,” adds the Bloom source. “They are trying to find a middle ground now.”

Bloom, 42, was previously married to model Miranda Kerr, 35, whom he wed in an intimate ceremony in July 2010 just one month after their engagement was confirmed. Perry, 34, similarly exchanged vows with ex-husband Russell Brand, 43, in a private but extravagant ceremony in India in 2010 less than 10 months after getting engaged.

“Orlando always shied away from anything flashy,” the source says. “He doesn’t want a huge, celebrity wedding. But they also have many friends that are important to them. They are still figuring out the details. Katy will work with a planner.”

According to the source, one thing that’s certain about the wedding so far is that Bloom and Kerr’s 8-year-old son, Flynn, “will definitely be an important part” of it.

Bloom and Perry, who got engaged on Valentine’s Day, are currently living together in the pop star’s home, as it’s much more private. Since moving in with Perry, the Lord of the Rings alum is selling his own pad.

“Since they are engaged, it was just a natural step for them to live together,” the Bloom source previously told PEOPLE, adding that Kerr “doesn’t have an issue” with the living arrangement.

“Miranda knows Katy and the two get along,” the source said. “Miranda doesn’t have an issue with Flynn being at Katy’s house when Orlando has custody. Everyone is getting along great.”

RELATED: Orlando Bloom Selling Home After Moving In with Katy Perry: It’s a ‘Natural Step,’ Says Source

The home is listed with the Oppenheim Group, which represented Bloom when he purchased the house. His listing agent Jason Oppenheim is the subject of a new Netflix show called Selling Sunset, which premiered on March 22.

“He did move in [to the house], but it was difficult because he was doing a remodel most of the time, so he wasn’t able to spend much time there,” Oppenheim told PEOPLE of Bloom. “He spent quite a bit of money and quite a bit of time. The pool took almost a year and a half. The interior stuff was a little quicker.”

Without having had much time to enjoy the renovation, the actor is now selling again, Oppenheim said: “As his personal circumstances recently changed with the engagement, he called me and asked me to sell it for him. It’s not really suitable for them right now as he’s no longer a bachelor.”

Bloom is selling his Beverly Hills bachelor pad for $8.999 million — almost $2 million more than what he paid when he bought the property less than two years ago, according to Variety.

Perry also recently unloaded a major piece of real estate by selling her Hollywood Hills mansion for $9.4 million. The home was first listed two and a half years ago for $9.5 million, and the most recent listing was reduced to $8.95 million.

RELATED: They’re Engaged! A Look Back at Katy Perry and Orlando Bloom’s Cutest Photos Together

Opening up about Bloom’s romantic marriage proposal last month, Perry revealed that he popped the question during a surprise helicopter ride.

“It was very sweet,” Perry shared during an appearance on Jimmy Kimmel Live. “We went to dinner and I thought we were going to go see some art after dinner but we pulled up to a helicopter.”

However, not every aspect of the proposal ended up going off without a hitch.

“The funny part is we had champagne in the helicopter and the [ring] box was in his pocket and he had written down everything he wanted to say on a note,” she revealed, explaining that the note was meant to divert her attention while he pulled out the ring.

“So I’m reading [the note] but I’m hearing the champagne is broken and the bottle’s everywhere … he’s pulling out this box that’s too big for his coat pocket, rips his coat pocket and his elbow goes into the champagne.”

Despite the mishaps, the proposal ended on a happy note and afterwards the pair “landed on a rooftop [in Los Angeles] — my whole family was there, and all my friends,” Perry recalled. “He did so well.”