This is my take at building a "Fur Hire" deck. "Fur Hires" are a rather spammy beatdown-focussed archetype. Their overall goal is to fill the board with a number of monsters and use their trigger effects, which activate upon entry of other "Fur Hires" in case of every monster from Level 1 to 4, or trigger effects that check how many different "Fur Hires" you actually got on the board in case of monsters from Level 5 to 8. In addition to that, the smaller "Fur Hires" are all able to summon a differently named "Fur Hire" monster from the hand, while the bigger ones either bring some sort of protection for the crew members or negation effects. The huge number of monsters that is amassed by playing this archetype correctly can then be used for Extra Deck summons to strengthen your board presence or simply be rammed into your opponent's face for an OTK. When I was building the deck, I focussed on their spamming capabilities over making them more control-oriented. The key card is definitely "Folgo, Justice Fur Hire" and he should be the first Extra Deck card you want to summon if no other, more immediate problems are staring you in the face from the opposing side of the field.
Aside from chain summoning "Fur Hire" monsters, you can use the "Scapegoat"/"Reproducus" combo to Special summon "Folgo, Justice Fur Hire": Use "Scapegoat" during the opposing End Phase, use two the tokens (choosing two that are not directly under the Extra Monster Zone) during your turn to summon "Reprodocus" and change the type of whatever "Reprodocus" points to into anything other the Beast (since the "Scapegoat" token is Beast-type) or Dinosaur (since "Reprodocus" is Dinosaur). Use the three monsters left on your side of the field to summon "Folgo, Justice Fur Hire", while still being able to choose a sizeable number of the archetype and not using up your Normal Summon nor any "Fur Hire" cards in the process. Another option featured in the deck is the use of the "Sky Striker" engine, which summons a token via "Sky Striker Mecha - Hornet Drones", then uses the token to summon "Sky Striker Ace - Kagari", who then recycles the card for another token which leaves you with a Warrior and a Machine monster and therefore an easy "Folgo, Justice Fur Hire" after your Normal Summon.
After you got enough of "Folgo, Justice Fur Hire" and his plays, you are more than welcome to go into other options like "Archnemeses Eschatos" for an easy beater with an awesome effect, your archetypal big boy in "Rafale, Champion Fur Hire" with added negation or "Saryuja Skull Dread" for yet more draw and spam for further extension. The newer "Tri-Brigade" Extra Deck monsters can also help strengthening your board: "Tri-Brigade Rugal the Silver Sheller" can trigger the effects of your smaller "Fur Hires" during the opposing turn by being able to summon a Beast, Beast-Warrior or Winged Beast monster from your hand while als weakening the opposing board if he leaves the field for whatever reason, meaning that using him fo further Link summons if possible. "Tri-Brigade Shuraig the Ominous Omen" can provide a sizeable amount of banishes if you play your cards right and have enough monsters to assemble, but in the worst case scenario he is still a 3000 ATK beater with one banish for free.
Other than that the deck is filled with options that allow you to continue playing more monsters after your opponent's negates or even just to get more monsters ready. "Mayhem Fur Hire", "One for One", "Reasoning" and "Rookie Fur Hire" all work in a number of situations and can provide playstarters if the first try was negated or if the effect were annulled.
Granted, the deck itself is nowhere near competitive, but is still able to negate fairly competently while still being able to net an OTK once in a while. If you like to learn more about "Fur Hires" or other archetypes, I welcome you to visit my blog at https://cubiccreativity.wordpress.com/2019/11/28/archetype-analysis-fur-hire/.