I refer you to Wikipedia.
The motion of sound can be hard to understand because we can't see its propagation. We can sometimes understand it more easily by analogy to waves we can see, for example waves on the surface of water, or light waves from a light bulb. Although they are different kinds of waves (sound waves are longitudinal whereas water and light waves are transverse), their behaviour is more similar than different. Here's a quick demo to understand the difference between longitudinal and transverse waves.
If i pluck an A string on a guitar with the A being 440hz, that means that single pluck has ejected 440 sound waves into the space which are now reflecting off surfaces?
Essentially, yes, but the guitar string is not simply vibrating at 440Hz. It's also vibrating at 880, 1320, etc -- harmonics. All of these frequencies are going out into the room. They don't travel in isolation. They're all interfering with each other to create a single complicated waveform. Yes, the sound will reflect off of surfaces in your room.
How do these waves travel in terms of direction? Is there any consistency to their path of travel or are they uncontrollable in their direction?
Under idealized conditions, sound travels outwards in all directions equally. The wavefront is an expanding sphere created by each 'quanta' of sound traveling in a straight line away from the source.1 By analogy, think of how light travels outwards from a lightbulb. As the the sphere grows, the sound's kinetic energy is being spread thinner and thinner, which is why sound intensity dissipates over distance in accordance with the inverse-square law.
In the case of both sound and light, obstacles encountered by the wave will impede or alter its course. Waves can reflect, refract, and diffract, which is to say they can bounce off of and/or bend around obstacles. Assuming the sound is made up of many frequencies, like a musical tone, the different frequencies may respond to these obstacles differently.
Once a sound wave bounces off a wall, how does it travel in terms of direction?
The sound will reflect off of the surface such that the reflected angle is equal to the incident angle -- eg: if sound traveling northeast strikes a wall running east-west, the reflected sound will be traveling southeast. To continue the light analogy, if your sound source is a light bulb, then each hard surface in your room is a mirror. Soft surfaces can absorb sound, ie not reflect it. Higher frequencies are absorbed more easily. On the other hand, very low frequencies can actually travel right through walls almost as if they weren't there. Low frequencies are very difficult to control.
There is a phenomenon called standing waves. This is when the size of a chamber (such as a room) is the same as the wavelength of a sound (or a multiple of it), resulting in the wave just hanging out there seemingly unchanged overtime. Because its wavelength matches the size of the space, it appears stationary, hence the name. For a visual aid, you can setup standing waves in a sink of water.
1 In actuality, each collision between air molecules is like a new tiny sound source creating a new tiny expanding sphere. But if you average out all the billions of these tiny spheres, you get the one big sphere I'm describing.