Two months after publicly confirming their relationship, the couple shared loved-up snaps on the social media site.
"I love this woman so much she treats me like a lil princess and makes me laugh harder than anyone. I am so f**king happy to wake up next to her every morning and fall asleep next to her every night and take care of our lil B.B. stumbs together," Geiger captioned a photo of the pair cuddling up in bed together.
"Which is why... When she asked me if I wanted to spend the rest of our lives together I said... YES YES YES YES YES YES YES YES YES YES YES YES YES INFINITE YES (heart) I love u @emilyhampshire."
Hampshire, 37, shared a slideshow of the emotional day on Instagram, and wrote: "#shesaidyes ...& she cried, then she made a video, then she posted it on insta and was glad she got her nails done today. My millennial girlfriend is now my millennial #fiance & I feel like the luckiest girl in the world."
Geiger's romance with Hampshire is her first public relationship since transitioning.
The musician came out as transgender in October 2017.