They are apparently planning to move in together, so it’s no wonder Kate Hudson and Matt Bellamy look more loved-up than ever.

The Muse frontman couldn’t take his eyes off his Hollywood star girlfriend as they enjoyed a romantic drink at the Hotel Imperial Cafe in Vienna, Austria.

Flashing a rare smile, Bellamy listened intently as Hudson chatted to him, apparently about a script she was reading while they sat together in the cafe’s terrace.

The pair, who have been dating since June, were making the most of the picturesque city ahead of Muse’s performance at the Frequency festival.

And it seems their relationship is going from strength to strength, as they were recently said to have started hunting for a house together in New York.

They have apparently started looking for a suitable property which will house a music studio for the 32-year-old singer and a children’s room, sparking rumours they are planning to have a family together in the future.

Bellamy, who met Hudson at the Coachella music festival in April, recently said he was nervous about meeting the 31-year-old actress’s mother Goldie Hawn.

Last month he said: ‘We are meeting next week. I’m quite nervous!’

And, asked about their future together, he said: ‘It’s a little bit too soon to talk about weddings and stuff. Ask me again in a few months though!

‘Things are going great at the moment. I am very happy. We just have fun together and are seeing how it goes. Kate is great.

‘We have tried to keep things private so we haven’t told anyone how we met or any details like that. We are just doing our thing.’

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