Thanks a lot for posting your query at DoctorSpring.com. I can understand your concern.
You seem to be having a condition called molluscum contagiousum which is a viral infection and can spread from person to person by skin contact.
The best treatment would be getting them extracted or curetted by your dermatologist.
You may pass it to your partner as there is direct skin to skin contact with the affected areas. But the important thing is that this is not an STD per se as it can get transmitted via simple contact. This is not a dangerous skin lesion and can be easily treated.
Removal will eliminate the virus and resolve the lesions.
So I do not feel that this should affect your relationships.
Please let me know if you have any queries.