Hi Susan, Welcome to LL to you and Buddy,
Yes, we all use syringes marked in half units. American Diabetes Wholesale carries most brands: Monoject and Terumo are the ones most people use. Click on the ADW rectangle (above) to peruse their selection. I suggest using 31 gauge syringes (the thinnest available) with 1/2-unit markings in the 3/10 cc size (for doses of 30 units or less, because the marks are further apart in that size). Walmart also has their own brand of syringes with half-unit markings. Depending on what state you live in, you may need your vet's prescription for your initial purchase of syringes from ADW, but for subsequent purchases, simply state in your order that your vet's prescription is "on file".
Best of luck,
Ella & Rusty