Things are heating up for Lance Armstrong and Kate Hudson.

The new couple went on a cozy dinner date at Chuy's Hula Hut in Austin, Texas, according to a source.

On Saturday night, the pair joined a group of six, including two women and four children.

"They seemed like they were having a great time," a fellow diner tells Usmagazine.com.

Hudson -- who just split from on-again/off-again fling Owen Wilson -- and Armstrong were first spotted together publicly on Thursday at New York City's Wildwood Barbeque restaurant.

If your new girlfriend had a body like this you'd be having a great time too...