Dexcom is authorised for
two years olds, but libre isn't authorised until
four. Not sure about the other one, Medtronic.
Dexcom and Medtronic, but not libre, can be set up to give alerts when going too low or high and that can be a god send for parents. You'll get some sleep!
As mentioned above, they won't do away with the need for finger tests completely, you still need to cross-check with a test now and then, but the great thing about them is that as they measure continuously, you get to see a graph showing where you've been, so it's a lot easier to see how insulin/food/bolus timings/basal/exercise are all working together, and especially watching out for hypos: you can see it heading towards four, and you'll get a downward arrow if dropping rapidly, so it makes it way easier to have some sugar to head it off.
Have used libre for about ten months, love it, haven't used dexcom, it's a bit bigger because of the transmitter, not sure how well people get on with them on two year olds, I suppose there might be a tendency for the kid to fidget with it and dislodge it, which can be pretty expensive.
I'm happy to bolus off it, but that's only after ten months using it and knowing a fair bit about it. I'd urge caution for anyone starting out like yourself, especially with a child involved: test for injections/meals and all the usual times, and use the device to keep an eye on things in between.One way of thinking about it is that it provides way more clues than tests, especially on the hypo business, but you still need to corroborate the clues with a test from time to time to be sure.
There's a thread here about prices:
http://www.diabetes.co.uk/forum/threads/cgm-gm-price-comparison.75106/