It looks like you have no problem picking up the Cincinnati stations. To get more, you're looking at trying to pick up Dayton stations. This is very doable, but the transmitters are coming from two different directions. Most of the transmitters are in two distinct groups that are separated by 90 degrees. The Dayton channels are also further away and weaker. You will need at least an attic or rooftop antenna (bigger antenna and less building loss) to get them reliably. There are no indoor "set-top" antenna solutions that will get you more than what you're seeing now.
You mentioned that you're on a budget, but are you ready to invest in an attic or rooftop antenna?
The 90 degree separation between the channel groupings means you can't really have just one antenna and have it point to both sets of stations at the same time. To avoid the cost and hassle of an antenna rotator, you would ideally want to come up with a solution that lets you get both sets of stations without re-pointing your antenna.
I think your best chance at success is to go with something like an Antennacraft HBU-33 or Winegard HD7694P in your attic or on the roof, pointed at the Dayton stations (compass heading 32 degrees). Fortunately, your Cincinnati stations are so close and so strong that they will probably be picked up just fine even though your antenna is pointed at Dayton.
Do no use any kind of amp. The Cincinnati stations are too strong for almost any kind of amp and will most likely cause them to overload. You will have to make do without an amp. With either of the two antenna mentioned above, I think you'll be fine.
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