You will not be able to connect those mics to your recorder as is. Audio Technica makes that mic model in a bunch of different configurations including with a phantom power adapter that will plug straight into the XLRs of your H5.
You might consider taking a look at the Sound Professionals website (or giving them a call and asking some questions) and identify the best option for your use case. Are you mounting this gear somewhere and walking away, wearing it, putting it on a short stand on the stage? They make ready to use stereo versions of the AT831, 853 and other miniature mics already wired to a mini plug ready for a battery box and line in to your recorder. If you want to put the mics on your head or keep things small, for example, this would be the easiest option.
Your recording location has as much to do (or more) than the mics you are using. If you are just sticking the device in your shirt pocket and dancing around on the front row no mic upgrade will help your results (I don't know what you are doing I'm just making a point). If you can get a good location to mount the recorder and get good sound then your internal mics may be able to make better recordings than you have realized.
Tell us little bit more about what you are doing and how you are doing it and maybe we can help point you in the right direction.