If all of the moons were full or new, you might have enormous tides, but the lack of a pair of distinct tidal bulges moving around the planet could mitigate this (or exacerbate it!).
This... seems a nonsensical statement. The tidal bulges are created by the moons!
Some satellites are small (like, say, Phobos or Deimos around Mars). They create negligible tidal forces.
But, let us consider the case of having several large moons...
In general, each large moon creates its own tidal effect on the planet below - each creates its own tidal bulge in the ocean that follows the moon in the sky (dragging along behind it by a bit - high tide comes somewhat after when the moon is highest in the sky).
These will interfere with each other just like sound waves or radio waves interfere with each other - when their peaks match, they add up, making a higher overall tide. You'll see maximum tides when the moons are in alignment (so, you'd see them very close to each other, possilbly evening eclipsing or transiting) in the sky. Second highest would be when they are in anti-alignment (the moons are on opposite sides of the planet), and minimal tides happen when the moons are 90 degrees apart in the sky.
Each moon has its own orbital speed. So, their tidal bulges move around the planet at different speeds - sometimes they'll add up high, sometimes they'll detract.
Now, there are two very basic scenarios:
1) The arrangement of moons is new. Their orbits are uncorrelated. The resulting tides will be chaotic - in the actual chaos-theory sense of the term. Even if you know the math, and try to calculate the tides, very small errors in your knowledge of their position at a given time will lead to large errors in you predictions of tides at a later date. Making an almanac predicting tides for seafaring communities would be very difficult.
2) The arrangement is old. In real-world physics, the moons
interact with each other as well as with the planet below. They will tug and pull on each other until they reach someting like a self-reinforcing state - this can generally be characterized by a beat frequency, or a ratio: Moon One will make 3 orbits while Moon 2 makes two orbits, and they're said to have a 3:2 resonance. This will yield tides with a similar "beat" - they'll become highly predictable.