Reddit mentions of Origin8 Pro-Fit Compact Handlebars

With old style bars like those the typical setup is with the flat section of the drops pointing approximately at the rear brake boss, it looks like you are pretty close to that, and the brake lever position is pretty standard for that type of bar. It is common to find the older style of bar more uncomfortable compared to the modern style where it's easier to ride on the hoods.

Modern compact style bars almost are almost all 31.8mm diameter at the clamp, where as your bike will be 26mm or 25.4mm.

If your bike has 25.4mm diameter bars, your best bet is probably these bars. They aren't exactly modern compact bend but they should give similar comfort benefits and ability to ride easily on the hoods.

If they are 26mm, these bars are probably your best bet.

You could convert the bike to 31.8mm to have more choice of bars but you would need at the least a new stem as well.

You shouldn't need to replace your brake levers - apart from the central section where the stem clamps, road bars are almost all a standard diameter of 23.4mm.

I'd like to put a shallow drop bar on my 2014 Bianchi Pista and more comfortable brake hoods. Will this combo https://www.amazon.com/gp/product/B003U9ROKC/ref=pd_sim_468_8?ie=UTF8&psc=1&refRID=F1X4QSZ08MYR2RW219MJ of brake levers work with https://www.amazon.com/Origin8-Pro-Fit-Compact-Handlebars/dp/B00SYZTLVW handlebars? If so, can I use existing brake cables or will I need to replace the cables as well?