Which of these budget laptops is best?

Gateway NE56R34u - $350 from Amazon with free shipping
http://www.amazon.com/...009A8KZLW/

Toshiba Satellite C55D - A5120- $328 from Walmart
http://www.walmart.com/...90&veh=sem

HP 15-g019wm - $298 from walmart
http://www.walmart.com/...90&veh=sem

Which is the best buy? I'm traveling in a few weeks and need one to take with me to be used for entertainment purposes while in the car (i.e. Games, movies, music, etc)
I don't understand the specs such as how the processors each compare to each other.

Of those, the only one you should consider is the HP.
http://blog.laptopmag.com/best-worst-laptop-brands-2014/3

Lenovo is the best Windows laptop mfg followed closely by HP, Asus and Samsung who are all almost tied. You didn't say what your budget was so I looked at Walmart for what they had between $300 and $400 - the Gateway you listed at the top was $350 and none of these exceed that by very much I thought to add a few more and the links were so long I couldn't post it so I converted them all to TinyUrl, but they are all at Walmart.com):
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff
https://www.walmart.com/...10&veh=aff

Firstly don't go for gateway, as it reviews were not good. Most probably you can go for toshiba as its processor (CPU) is better than hp one, you can see this here http://cpuboss.com/cpus/AMD-E2-3800-vs-AMD-E1-2100

while comparing in toshiba and hp the better GPU is of toshiba one, you can see it here http://gpuboss.com/gpus/Radeon-HD-8280E-vs-Radeon-HD-8210E

and you can expand your ram up to 16 GB in future in toshiba one but in hp its limited to 4 Gb only

So from above three, the best is Toshiba one. Go for it.

I'm a former computer tech. I'm here to help.

First of all, of the three brands you've posted, Toshiba is enjoying the best reputation for quality, and HP is the worst. In fact, HP has very little respect for quality amongst people who repair computers.

Gateway is actually an Acer budget brand. Acer has a good reputation for quality, but the budget computers from any computer company (which all of these computers are) will always be of poorer quality (components, construction, and design) than their regular notebooks.

Of the three you posted, the HP is the slowest, followed by the Toshiba, and the Gateway is probably the most capable.

That being said, none of these computers will probably be very much good to you for real world application. You get what you pay for. All three have entry level graphics adapters, but all three graphic adapters will share the main memory of your computer, so none of them will be great gaming machines. The Gateway probably has the weakest graphics adapter of the three. (FYI graphic adapter is a co-processor that is dedicated to running on screen graphics, so the better it is, the less your actual computer has to work, and the faster it will appear to run).

In the end, I would go for the one with the best warranty. Apart from what I listed above, the rest of the components are equally bad.

You get what you pay for…

I will recommend you to go for HP.