I posted the Sam passage above by itself because it's really the ONLY description of individual cooking/eating gear.
-Bilbo's silver spoons bequeathed to Lobelia probably are ornamental and not for eating??
-The "bottles and dishes and knives and forks and glasses and plates and spoons" of the Unexpected Party survives into the 1960 Hobbit, so it is a safe bet that Hobbits are meant to have them. However, there's no mention of them after Bilbo's Birthday feast, when people come to clear away "the pavilions and the tables and the chairs, and the spoons and knives and bottles and plates, and the lanterns, and the flowering shrubs in boxes, and the crumbs and cracker-paper..." (LR I:1).
This absence suggests Bilbo's forks were for carving meat for the dwarves, and the regular hobbits at the Feast eat traditionally with knife and spoon only?
Bilbo's 'Hey Diddle-Diddle' song deals with eating gear, but only silver spoons and dishes, no fork.
In Beorn's hall, the serving sheep bring "trays with bowls and platters and [metal] knives and wooden spoons, which the dogs took and quickly laid on the trestle tables." (TH 7)
We aren't told what they had for dinner, but probably not much different from bread, honey, cream, and mead. No meat = no need for carving fork.
While forked tools have existed for millennia (Egypt, Bronze Age China, and Greco-Roman period in Europe), they were used in cooking and not eating. Spearing food and bringing it to the mouth only caught on in the last few 200 years or so...and even then it was an uphill fight.
I can easily see Bree, Rohan, Gondor, Dale, Dunland, etc having forks, but they're almost certainly just for moving meat from the pot and carving it up, not using them as we do today for eating.
Personae: Aistan son of Ansteig, common Beorning of Wilderland; Tungo Boffin, Eastfarthing Bounder, 3018 TA