In addition to my ham radio license, I had a GMRS license for 5 years. In fact it just expired this past January. I was WQBY447.
The only thing I'd worry about is if those radios would be able to get through the trees between your homes. Two miles is a bit of a stretch for those little handi-talkies (aka HTs) when they are outdoors much less indoors which will most likely be the case for you. Keep in mind that while those bubblepack radios have claims of 15 or 20 mile ranges on them the reality is MUCH different. It's just not possible to get good range out of a low power radio with a low/no gain antenna like those.
GMRS is so much more than bubble pack plastic toy radios too. Your GMRS license give you access to REAL radios which can run up to 50 watts of power and also repeaters like the ones located in Baton Rouge and New Orleans. Just like ham radio repeaters, these GMRS repeaters can increase your range sustantually over what is called Simplex which is direct radio to radio comms.
Now, higher power GMRS radios will certainly cost more than the bubblepack models you are probably looking at but you get rugged business type portable mobiles with higher power and the ability to use external high gain antennas. Hook a 45 watt GMRS radio to a power supply (or like I do, a deep cycle marine trolling battery) and then put a decent antenna up on a pipe pole on the side of your house and you will have no problem reaching well beyond 2 miles.
Of course, for a lot less money you could find a used mobile 40 channel CB, hook it to the same battery or power supply and put a CB antenna up about 10 feet over your roof on a pipe pole and cover the 2 miles without the hastle of getting a GMRS license. Heck, I've seen people selling old CBs for a couple of bucks at yard sales and a decent antenna and some coax could be found for about what you would pay for a pair of those FRS/GMRS combo radios.
If you don't want a antenna on a pole try a mobile magmount antenna run out a window and stuck to a metal rain gutter or even a air conditioner unit. I've done this before and it works fine.