You forgot to mention that the gameplay itself is almost a meld of FE turn base with tower defense and first person shooter.
During your turn, when you control your units, you go into third person mode and move around the map, trying to gain a vantage on the enemy. But the enemy won't just let you run around and let you get into position- if you get within their range of sight, they'll fire upon you. But once you finally choose to end your movement and attack, it'll give you time to adjust your aim in FPS style, and then you let your character attack. Depending on your character's class, you can aim for the head for critical hits with more accurate weapons, or aim for the body or multiple characters in a swath with machine gunners.
Some units you can use off the top of my head.
Scouts- have the highest amount of movement per turn, are lightly armored, and pack a rifle for accurate shots.
Shock Trooper- medium movement range, higher health, and sprays out bullets in a swath with machine guns. Deal quite a bit of damage and are ideal to place near open areas.
Lancers- Heavy armored, low movement, anti-tank class. They fire off one lance per turn, which is rather inaccurate, so it's actually kind of a bad idea to use against people, especially at distance.
Snipers- kind of low to medium movement range, and do not fire upon enemy units that get within sight and range. Low armor, but have a scope to their sniper rifle that lets you get them highly damaging sniper head shots from long distance. These guys do some premium damage, just don't let enemies rush up and beat your face in. These guys take advantage of being placed in towers that appear in some maps.
Tanks/APC's- mini gun turret for gunning down the pedestrians, explosive shells will break down some obstacles that provide cover and deal great damage to regular units and other armored vehicles. APC (armored personnel carriers) only have the machine gun turret, but have higher movement and have the ability to transport several units great distances across the battlefield. Like tanks, they are weaker on the sides, and especially on the back where part of the engine is exposed. It's kind of a glowing blue area that says "insert lancer round here".