The further you get into physics, the harder it will be to find good animations. There are a number of reasons I see for this.
1) As mfb mentioned, it's really hard to come up with a good way to visualize complicated systems. Electromagnetic fields are tough to visualize, because you're trying to turn two different 3D vectors in 3D space into a single 2D set of colors. You're going to lose a lot of information no matter what you do, so figuring out how to show the best set of information can be very challenging.
2) These animations usually take a lot of time to make: even the "simple" ones. People will tend to focus on animations for core concepts rather than specific problems. For example, I could probably make an animation exactly like what you want, but I know that it would take quite a lot of time and effort on my part. I really don't think it would be worth it.
My point is, even if there is an animation for this specific problem, it won't be long before you come across a problem with no good animation.
Now, the question is, what do physics/engineering majors use when they don't have an animation? Most of the time, the answer is a lot of math and a lot of imagination. Worst case, they build their own simulations/animations (which takes a LOT of time). I don't want to discourage you, because it's great that you're interested in this stuff. However, it really does take a lot of work to wrap your head around problems like this. If someone hasn't done the work for you by making a nice animation, you're pretty much stuck doing it yourself.
To really understand this specific problem, you would probably need to do a full-blown year-long course on electricity and magnetism, using a book like "Introduction to Electrodynamics" by David Griffiths. You would learn about Maxwell's equations, which pretty much describe all electromagnetic fields/waves, and you would use those equations to solve for the fields of a moving point charge. Unfortunately, before you do all that, you'll definitely need to do some courses in vector calculus and differential equations.
I would encourage you to study physics "properly" (i.e., learn all the math) since you seem so interested in it. It can seem unachievable when you look at the mountain of topics you have to learn, but if you're interested in it, the climb is really a lot of fun. It takes a lot longer, but you'll get a lot more out of doing things the hard way than you will out of relying on animations that others have made.
Take a look at this website, written by a Nobel Prize winner:
http://www.staff.science.uu.nl/~gadda001/goodtheorist/classmech.html He gives a pretty good outline of the path you would take to learn physics properly.