I wouldn't gravel the paths personally. Just leave as is.
Over time you will get a buildup of mud underneath the gravel. Then stuff can grow.
Mine looks like yours does now. Quick brush down couple of times a year and all the dusty mud is gone.
Start collecting all your compostable from home. Tea bags, banana skins are two of my favs.
If you find after year 1 your not getting good crops might be worth a PH test.
Is that a pile of old wood at the end? If your not going to use it bury it in the beds at least 30cm or so down. It will decay over a number of years. It brings a lot of positives to the beds.
Or go for a single Hugelkultur bed.
en.wikipedia.org