It’s not possible to say, as the datasheets provided are woeful (no output power or angle figures are given). I’d suggest using name-brand devices from the likes of Digikey or Mouser if you want proper data.
Since you don’t know the frequency of the receivers in your consumer video devices ,you’ll do best to either transmit in both bands or do a comparative test. The internet may also know.
IR LEDs typically have a forward voltage in the 1.2 V range, so you’ll also want a resistor, and you can run 3 of them from 5V without additional current draw. Some IR LEDs can withstand 150 mA .
For control of consumer IR products (TVs, DVDs, etc) the 950 nm LED is the better choice.
As for connecting them directly to some driver … there’s a peak current rating for the LEDs. If you manage to exceed that their lifetime will be cut short. You may also overheat whatever device you’ve connected the LED to and burn that out. The LED below should easily work beyond 10 ft, if driven properly. The driver kit does just that. You can add more LEDs to get even more output. Add 2 or 3 LEDs+resistors in parallel with those shown in the schematic or you can add 1 LED in series with the one shown and reduce the resistor to something near 20 ohms. My guess is that a single LED should be sufficient though.