[Modern] programming languages have decimal/rational data types, which (within limits) are exact. Where this is not possible, and/or it's undesirable for any reason, just use an int and scale it manually (e.g. 1.05 dollars = int 105).
However, point 2 is very problematic and important to consider. How do account 3 items that cost 1/3$ each (e.g. if in a bundle)? What if they're sold separately? This really depends on the requirements.
My 20 cents: if you start a project, start storing currency in an exact form. Once a project grows, correcting the FP error problem is a big PITA (assuming it's realistically possible).