I'm really sorry for your loss. I've had pets pass similarly at home, and it's very upsetting to have to see. And I know all too well after going through grief it can be hard to open up your heart to another animal. I remember when Frenzy was in the process of her final illness and dying I very much felt that I couldn't do this again. We did get another guinea pig (Sundae, the lighter one in my avatar picture) fairly quickly, mainly because it seemed to make the kids feel better (they took Frenzy's death really hard, it was really the first pet loss when they were old enough to understand) and because I didn't want Linney to have to be alone any longer than was necessary. At first, I admit that I didn't feel a lot for Sundae at first. I got her to fill a need. What I really wanted was Frenzy back. However, over time I warmed up to her (obviously, she is a wonderful little girl in her own right!) She's now four, and although she never replaced Frenzy, I love her just as much for who she is.
There is a poem I really love, from the perspective of a dog willing his belongings and his owner's love to another dog in need. It makes me tear up whenever I read it, but it helped me tremendously when it came to the loss of pets. I feel like the best tribute I can give the animals I love is to pay that love forward when their lives are over, and never forget them.