Creating a Video for DVD Sorry if there is an obvious answer to this question; I haven't done any video editing ever so I'm struggling with something; How should I set up my output and encoding preferences? 

I was tasked with cutting and merging different video files for my brother; he wants to create a DVD with some old family footage. I've already have all the audio and video strips set up the way I want them to playback. I'm just having issues figuring out what file format will work on a writable DVD disc.

Also, I want the quality to remain relatively high (as high as possible since the footage is already sorta bad from being a bit old).

Thanks!
The two standards for DVDs are NSTC or PAL. Both are a rather low quality format by today's HD standards. You said that you are coming from old media, so going to DVD there will be no loss in quality.

Blender makes it quite easy with presets. Here I'm assuming NSTC.
Everything you need to set is in the Render tab of the properties window.
There is a preset for the dimensions: TV NTSC. The preset for the output is split among two headings Output and Encoding. Choose MPEG for the file type, and make sure it is set to RGB. Then the default DVD preset for the encoding works well.