So I am almost done fermenting my first batch of home brew and am about to start kegging it. The only problem is the current hose coming from the regulator is a good bit wider than the nozzle I have on my homebrew keg. Is this something that can be fixed somehow, or should I look to replace one of the nozzels? Does the hose width matter much for delivering the pressure to the keg?
EDIT: connector looks like this:
EDIT: looking back on this question, I notice this picture shows a barb that could be screwed off, mine at the time was not like that, had a particular barb all connected as one piece.
Without knowing 100% what is available near you (saw that you are from the states which seems like a place where you can get almost anything from your local shop) there are hose-adapaters that you can buy, these are how they look in Sweden; Slangadapter.
After doing a bit of digging I found that they are typcally called 'Union Reducers' and can be found online; Union Reducer
The width of the hose won't matter too much. Since you are delivering low pressures (1-2 bar) the thickness will not affect the possibility to deliver pressure.
It's common to use 1/4" quick disconnect barbs and flange connectors (as shown in your photo) with a 5/8" gas hose. Just be sure to use either a worm clamp or oeteker clamp on the hose to keep it in place on the barb.
Alternatively, you can get 5/8" barbs for the flange connector, but I'm not sure it's necessary.