Is there an auspicious mahurat on 10 June for House entry, Puja?
In Jain tradition, shuddh bhavna, ahimsa, and proper vidhi are more important than only the clock time. For Griha Pravesh and Puja, an auspicious muhurat is usually decided from the panchang based on the year, location, and tradition.
So, I can’t confirm the exact auspicious muhurat for 10 June here. For the correct Jain-appropriate muhurat, please consult a reliable Jain pandit / panchang for your specific city and year.
If you want, I can still share the Jainly proper way to do Griha Pravesh and Puja.