You don't need an expensive DSLR or even a point and shoot camera when you want to take great photos on the go. All you'll ever need is a great camera phone such as a Nokia Lumia 920 or a Google Nexus 4. But in order to capture that perfect shot you need some basic photography know-how that doesn't really require technical skills. Of course, cleaning your lens and standing still or keeping a steady hand can obviously affect the quality of your photos but these should already be common knowledge.
Utilizing your flash can also be an option but only use it when necessary. When you're outdoors you can use natural lighting which can work best especially if it's an early morning sun or a mid afternoon light. Playing games are known to enhance your visual acuity and your multitasking skills that can be very beneficial to photography. You can also meet new friends and fellow photographers who are also players with the online community in Pocket Fruity. Aside from playing games with your phone, you can also practice your photography skills with great camera apps available on Google Play and iTunes.
After you take photos, don't be overwhelmed when it's time to edit those shots. It's actually great that you take a lot of photos so that you have a lot of options to choose from and filter out that one great shot. There are plenty of photo editing apps that you can download for your phone such as Camera+, Snapseed, and Vscocam. Finally, ask for permission if you're taking photos of the local scenery or some street photos if it involves people. Don't be afraid to make mistakes. Practice makes perfect after all and if all else fails, there's always Instagram.