It is possible to change the IP address of your phone and computer relatively easily. Though you've probably come across this article with your own idea of what you need a Hungarian IP address for, I'd like to give you a breakdown of all of the benefits by using two popular methods of changing IP.

Benefits

Of course when you have a Hungarian IP address on your phone or computer, you will appear to be accessing the internet from Hungary. You could make a Skype Call to someone "from Hungary", chat online with a Hungarian identity, and sign up for membership sites with Hungarian credentials. Though I'm not Hungarian, I frequently run into the problem of being abroad and trying to create a US ID for sites I sign up for. It registers my IP as being non US, so language is a problem. Sometimes, I'm refused service because the site requires a US IP to sign up. I'm sure the same thing happens in Hungary.

Another benefit of having a Hungarian IP is simply that you can get rid of your real IP. If I'm in The UK and don't want the UK government getting into my business, a Hungarian IP would certainly do the trick. Why would they profile the online activities of someone outside of their jurisdiction?

Methods

For general browsing and other web based activities, proxies will work. You can use Hungarian web based proxies or open proxies. Web based proxies on Hungarian sites could be found by doing a Google search in the Hungarian language. As for particular sites, web based proxy sites frequently come and go, so a list I give now may be outdated by the time you read this. A fresh search on the search engines will surely turn up something new.

Open proxies can also be found with a search online, and you only have to search the list for proxy servers in Hungary. You can then use this information to change the IP of your browser. This, as well as web based proxies should be accessed with caution however, because these types of IP changing tools are notorious for compromising personal information. Accessing personal accounts while signed into these proxy servers could put you at risk.

Virtual private networks are much better in my opinion. They're faster, more reliable, and are in general a smarter long term solution to changing your IP address. Though not all VPN services will offer VPN server in Hungary, there are more than few. You can use PPTP VPN server to get a Hungarian IP address on smartphones and computers for standard IP changing and no-frills security. For higher encryption and privacy features, L2TP VPN servers can be used for smartphones, and OpenVPN can be used on laptops and desktops. VPNs can be used on Android, iPhone/iPad, Mac, Windows, and Linux operating systems.