I am so sorry. Been through this several times myself with dogs and know how you feel. It sounds like you gave Lula a wonderful, full life and I hope you can find some comfort in that. And, as my mom always says, the best way to honor the memory of a pet that has passed on over that rainbow bridge is to help save another one. Pets, like people, can never be replaced, but there are so many of them in need of good, loving homes.
And, if you're not crying now, here's something I saw a few years back that I really believe in:
A Dog’s Last Will and Testament” (Author anonymous)
Included in a recently published book in Germany “Der Verlust eines Hundes” (The Loss of a Dog) by Elli Radinger
Translated by Janet Beasley
When humans die they prepare a will in order to leave their home and everything they own to all those they love.
If I were able to write I would also make out such a will.
To a poor, lonely, full of longing stray I would leave my happy home, my food bowl, my cozy bed, my soft pillow, my toys and the beloved lap. The gently stroking hand, the loving voice, the place I had in someone’s heart and the love which, at the end, will help me towards a peaceful, painless end while being held in loving arms.
And when I die, then please don’t say:
“Never again will I have a dog, the loss is much too painful.”
Find yourself a lonely, unloved dog and give it my place in your heart.
That is my bequest. The love I leave behind is all that I have to give.