Listed from smaller to largest in size, I think there were the following dishes in May, but without Legacy/DishPro/DishPro Plus variances:
1. 18" dish or Dish 300 with a single or dual LNBF for a single satellite at either 61.5 or 148, as well as either 119, 110, or 129; but not 121 and 105.
2. 20" Dish 500 - normally with a Twin LNBF for two satellites at 119 and 110.
3. Dish 1000 - to receive 3 satellites at 119, 110, and 129. (Is bigger than Dish 500.)
4. SuperDish 121 - to receive 3 satellites at 119, 110, and 121. (Is bigger than Dish 1000.)
5. SuperDish 105 - to receive 3 satellites at 119, 110, and 105.
During the summer, 3 new dishes, 1 Repoint Kit, and 1 new satellite were announced, but may not be available yet.
6. Dish 1000.2 - which is bigger than the Dish 1000, but still only receives 119, 110, and 129.
7. Dish 500+ - which is smaller than the SuperDish but bigger than the Dish 1000.2, but receives 119, 110, and 118.7.
8. Dish 1000+ - is identical to the Dish 500+, but has a bracket and LNBF to receive 119, 110, 118.7, and 129.
9. SuperDish Repoint Kit - changes 119, 110, & 121 to receive 119, 110, 118.7, and 129 with he bracket/LNBF option.
Generally:
For regular programming you need to receive 119 and 110.
For HD programming, you need 129. But those programs are also on 61.5 as MPEG2.
For Local SD Channels: It could be almost any of the above satellites or even more than one.
For Local HD Channels: It could be on one of several.
For International Channels: It is usually on 61.5 and/or 148, maybe 121, and now 118.7, depending on which package(s).
In the meantime, I suspect you have the original Dish 1000. If you are having problems, maybe you need to have it peaked for 129, and then install a Dish 500 to receive 119 and 110; or the other way around, peak Dish 1000 for 119 and 110, with a Dish 500 for 129, or even 61.5 if not needed for Cincinati locals (SD and/or HD).
Someone else may already have this and will post, but I'll take a look at HD with Cincinnati locals and see what birds you need to look at. Then there may be an option if you are having trouble getting HD on 129.