The reality star, 65, was photographed sporting the new bling while pumping gas in Los Angeles

By Aurelie Corinthios
Updated September 16, 2015 04:00 PM
Credit: VIPix/Splash News Online

Caitlyn Jenner‘s got some new bling!

The reality star, 65, was spotted pumping gas and sporting some serious jewels, including large diamond earrings and a gold necklace with her name on it, on Tuesday, the same day she filed to have her name and gender legally changed.

She paired the accessories with jeans and a bright blue knit sweater, as well as bold red nail polish.

Jenner is in Los Angeles while her daughters Kourtney Kardashian, Kim Kardashian West, Khloé Kardashian, and Kendall and Kylie Jenner are in New York – and the famous family has been having a seriously busy week.

On Monday, the sisters each debuted new apps and websites that offer an inside look at their lives and interests – and so far, 18-year-old Kylie, the youngest sister, is dominating the charts with viral videos like the one in which she reveals the secret behind her cleavage.

On Monday night, the sisters partied together at Up & Down nightclub to celebrate Kylie’s recent Galore cover.

On Wednesday, the Kardashian-Jenners made their way to Kim’s husband Kanye West’s Yeezy Season 2 runway show, in which Kylie walked.

Shortly before attending her hubby’s show Wednesday afternoon, Kim posted a first-person essay to her new website titled “About Caitlyn,” where she describes how she accepted Caitlyn’s transition after keeping it secret for 13 years.

Notably missing from the sisters’ New York Fashion Week extravaganza is matriarch Kris Jenner, who is currently in Los Angeles.

Kris, 59, exclusively told PEOPLE at a Brent Shapiro Foundation event on Saturday that her current relationship with ex-spouse Caitlyn is “good,” but also “a process.”

“I think everything takes a little bit of time. We’re still family. We still have kids together,” she added. “And it will work itself out.”

A source close to the momager recently told PEOPLE “it’s still really fresh for Kris,” and that she has “moved on as best she can.”

A Keeping Up with the Kardashians production source also told PEOPLE there “is no obvious discord,” and that while the family hasn’t seen Caitlyn “a ton recently it’s not for any other reason than the fact that they lead incredibly busy lives.”