7 Minutes Ago: Travis Kelce Spotted Opening the car door for Taylor Swift as she arrived the venue for Miami Grand Prix

New York City over the weekend, and one gesture in particular stood out amid their budding romance.

In a video of the new couple arriving at Catch Steak for the Saturday Night Live after-party, the Kansas City Chiefs tight end is seen helping Swift, 33, exit the vehicle.

As the singer’s security guard approaches her side of the car, Kelce asks to take over and opens her car door instead, helping Swift step down to the street in her high heels. The NFL star then held Swift’s waist and took her hand as they walked into the restaurant. Taylor and Travis were there all night and they were so smiley, they were so happy,” the insider told PEOPLE. “They were so talkative. They were really fun. They talked to every single person in the room that talked to them.”

“They were super cool. Super nice, super happy,” the source added, noting that the pair stayed at the party “until after 4 a.m.”

On Sunday, Kelce was spotted at MetLife Stadium watching his brother Jason Kelce and the Philadelphia Eagles as they fell to the New York Jets 20-14. He sat with friends dressed in a green two-piece tracksuit with white accents in a nod to the Eagles’ team colors.