Of those on your list the Polk Tsi series, Klipsch Quintet, and Klipsch Icons. If memory serves (don't hold me to this) the Tsi100 is the replacement for Polk's entry level Monitor 30 and I have yet to hear them. I'm not overly fond of the Monitor line (personal taste) but Newegg has been blowing them out on every other week clearance sales so cheap ($90/pr) that I can't deny that they're a heck of a bargain.
I'm very familiar with the Quintets and still have a pair of them in a box in my storage shed that I used to use for surrounds. The problem with the Quintets and any micro speaker/satellite is that they need to crossover to the sub way too high. Up around 120-150hz for the Quintets. Ideally you want to crossover at 80hz or below so that the transitions between subwoofer and satellites aren't obvious. That's the point below which it's hard to detect the location of the source of the sound. BTW these were just on sale this past weekend for $280 and while the sale is over for now they've been on sale a couple times over the last couple of weeks and if that's what you decide on I'd watch the deal sites for a sale. Newegg has their big brother
Quintet SL on sale for $380. I haven't heard the SLs but the specs on the front three speakers are a whole lot better than the regular Quintets. Maybe you can hear them locally.
The Klipsch Icons I have not heard and cannot find specs.
Bottom line I'd try to find a pair of Infinity P163 to listen to, as well as the Polks, and the Quintet SL and see which
you like best. Speakers are personal taste and yours is good enough to have figured out that Bose reek.
Anyway don't skimp on the subwoofer and don't buy it in a store! Neither Polk or Klipsch make good subs. The Outlaw LFM-1 Plus that I linked is ideal for young ones. It's down firing so that there is no risk of little hands jamming a pencil through the cone so they can see what's inside and the ports are also on the bottom meaning that there is no chance of hiding dad's keys in a port or sharing milk with the port.

It's an extra $150ish but worth for kids and the extra output.