Let’s just go a step further here and cover all the bases. If you buy a Blu-ray burner you can write both to Blu-ray writable discs and to DVD writable discs. With a Blu-ray burner you can do anything you want, up to burning a working Blu-ray (single layer BD25 disc) from the full quality MKV (once you convert with TsMuxerGUI).
If you want to go cheaper on your drive purchase and just burn the DVD versions, you can get just a DVD burner. With this you can burn the AVCHD versions to a DVD9 (these are double layer DVDs, which are more expensive than single layer “DVD5”, but often comparable to or cheaper than BDR discs), these can be played in MOST Blu-ray players, but not in any standard DVD players.
If you want to burn a disc that you can play in any player, be it Blu-ray player or just a DVD player, then you’d want to jump down in quality all the way to the standard definition NTSC DVD5 version. It will play in anything because it is just a normal single layer DVD, no Blu-ray formatting of any kind and appropriately reduced quality. Not the best looking or sounding by a long shot, but it will work in anything.
Alternatively, if you skip disc burning and just want to play the files off a USB drive, just make sure it isn’t formatted to FAT32, or it will go over the file size limit.