Never ever spray or drip any cleaner, liquid, or polish directly onto the fret board. Thanks Ms. Strumelia

That's exactly what I was going to do , Good to know.   I can just see me repeating that over and over again till the Frets start to get loose and then I'd be scratching the top of my head trying to figure out what the heck's going on 

It can be a little overwhelming trying to weed through all the information that's on the internet. Clean the front board with lighter fluid and a  toothbrush, don't use lighter fluid use alcohol wipes don't use alcohol wipes use a toothbrush and household cleaners don't use household cleaners use this product no use that product and so on can drive one nuts 

I used F-One Fretboard oil on a used dulcimer i bought that needed some TLC. It worked very well to restore the fretboard.        In the blurb that accompanies the product on the Blue Lion website, it explains why the company doesn't use lemon oil in their products, though that could just be a marketing ploy to distinguish their product from competitors  

Jay (olddog75)

PS: You seem like you don't want to make an early misstep on your dulcimer journey, so I'd go with the F-One, then you won't have to worry about the fretbooard "dryin out" since there won't be any lemon oil on it in the first place...

I've used GHS Fast Fret to clean my fretboards and clean/wipe down the strings which get grimy too. It leaves things nice and feels easy to then to slide up and down the fretboard.
I also admit (confess?) I have used Lemon Pledge as well to clean/polish the fretboard (with strings in place) and it seems to work well for me too.
BUT... and this is important-  Never ever spray or drip any cleaner, liquid, or polish directly onto the fretboard unless it's a fretless one. Instead, just put a very small amount on a soft cloth and then apply the cloth to the fretboard. You don't want any liquid at all to seep into the fret slots!- it can cause them to swell and the frets to loosen. This applies to seams on the instrument as well. Always use a soft cloth, do not apply products directly to the instrument .

“WoW, A fret eraser”  I'll Google that I've never heard of such a thing. Cool thanks I'll give it a try sounds better than using steel wool that someone said to use. I don't want to screw things up by doing it the wrong way thanks again for the info 

In my opinion, mineral oil is good. I also like mineral oil with orange oil, and from what I understand, lemon oil is usually mineral oil with a bit of lemon oil in it.
I like to take mineral oil on a rag and just dab the tip of the rag in the mineral oil, then vigorously rub it into the fretboard, wipe away any excess, and let it saturate then dry. It will dissolve all the grime and replenish the moisture of the wood. I can't imagine the brand of rag or mineral oil makes a big difference. I would just get a bottle of mineral oil, personally.
 
If the rag is meant to polish the frets, I recommend a "fret eraser" which is a soft abrasive pad that easily polishes the frets. 

Blue Lion still shows they offer the MusicNomad fretboard oil: https://www.bluelioninstruments.com/accessories.html#instrument_cleaner_polish

Thats running parallel to the top of the capo not cable

Has anyone out there used MusicNomad F-ONE Oil Fretboard Cleaner & Conditioner? 

Someone said that I should use gorgomyte fretboard conditioning cloth,

But it looks like this product is no longer available And that I should stay away from anything that has lemon oil in it. I don't know why but.   any recommendations out there 

Oh by the way if anybody out there that has a Dudley Quick-Release capo that doesn't seem to be holding on correctly and having a tendency to pop off the fret-board do not Bend the arm. the cam has one or two little adjustment screws that you can loosen and rotate the cam to the correct orientation the screws on the cam should be running parallel to the top of the cable just thought I'd throw that out there