My rule of thumb when starting out with anything in ham radio (or with tech in general) is to start cheap. Not dirt cheap, but a reasonable entry level item to just get your feet wet so you can determine if you would like to continue down that rabbit hole. With the advent of China getting into the DMR market, you can find significant savings on a radio that will get the job done.
If you've Googled anything about DMR, you'll see that this radio is synonymous with DMR. Price is $90-$100 brand new, and covers a single band in either 2 meter or 70 centimeter. While this radio is pretty solid out of the box, it's the open source backing and support network that has been established that has taken this radio from being average to being god-tier.
Based off the work of Travis Goodspeed, you can flash the MD-380tools firmware on to the radio and open up a bunch of extra features that really simplifies your experience with the radio.
What I've found works best is this branch using a Linux VM using VirtualBox. It's simple to use, and if you use computers in any way, having VirtualBox is a great first step into using Virtual Machines while not breaking the bank since it's free. When you boot in to the VM, the interface is easy to follow, and all the legwork is done for you, all you need to do is type in the simple commands to run all the scripts.
What makes this radio stand out is not only the fact that the radio is dual-band (2m/70cm) but also the price point of $90. Routinely, they will go on sale (via Lightning Deal on Amazon) for $70. Check out the Radioddity Facebook group, and watch for posts alerting when they will be upcoming. The downside to this radio is there is no color display, and there is not a big custom firmware community (yet!). What you gain however is the ability to transmit and receive on both analog and digital voice on 2 meter and 70 centimeter, effectively giving you two radios for a cheap price.
Read the codeplug page to learn how to program your DMR radio.