Namaste:
I am a Shaiva and Buddha lives on my Shrine. It is dominated by a large image and statue of Lord Nataraja, but a lot of things are also there:
Kal & Maheshwara Yantras
Buddha Statue (Budh means 'mind')
Sacred Earth Goddess in the form of Kuan Yin
Christian Cross
Small statue of Lord Ganesha (I start with)
Small picture of Ardhnareshwar (to represent the 'yin/yang' cosmic balance of Shiva/Shakti).
Then, there are 'personal items' of spiritual/sentimental significance:
A photo of Guruji
Sunflowers
Nautilus shell
Peacock Feathers
Rudraksha beads
Crystal Amethyst cave...
Worship whatever you feel is special or sacred to you. If Buddha is special to you, then put Him there (he is an Avatar of Lord Vishnu as well, but that should pose no problems).
Using objects that have special significance to you, turns your 'Puja' inwards and fosters a state called 'manas (mind) Puja' where you are performing worship unknowingly, through Love which leads into deep meditation.
I hope to be able to fully achieve that one day.
Aum Namah Shivaya
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