I Love Chers Kids ...

Cher and Alexander Edwards are getting involved with each others kids ... another sign the singer and her music executive fiancé are serious about their relationship.

We got Alexander at Il Pastaio in Beverly Hills on Wednesday and he told our photog Chers sons, Chaz Bono and Elijah Blue Allman, are "my guys."

Alexander has a son of his own with Amber Rose ... and when we asked him how Cher gets along with little Slash, he told us Chers "amazing."

Remember ... Cher and AE have a 40-year age gap and theyve only been together a few months ... so getting involved with the children is another big step. Chers sons are older than Alexander, after all.

AE gave Cher a huge diamond ring over the holidays, and she told paps back in January the engagement was going along well.

Theres no word on a wedding date and our photog prodded AE for info ... but it sounds like their sons are the priority, at least for now.