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I'm new to using Bastet but have a good general idea of how to use her. This guide is here to give you an idea of how to use her and get kills like the sexy cat that you are.
Early game I like to grab lvl 1 Warrior Tabi and lvl 1 Soul Eater with 2 mana potions. Start off in the lane and grab Pounce first. Stay in lane but be cautious because you are a squishy. Use Pounce to harrass gods and auto attack the hell out of minons until at least 4. From there pretend to go back by walking past your first tower (tell your lane partner). Go check either green or blue buff, preferably green. Recall then proceed to blue after either trying to finish or actually finishing Warrior Tabi. After checking the blue camp go back to lane and gank when necessary or asked.
From here you should be grabbing Qin's Blades because a fast agile cat is the way to go. Continue to grab whatever buffs you can for the situation you are in. Speed buff is a solid buff to grab when it's up. You should also be trying to get blue buff whenever you can to prevent the enemy gods from doing so, as well as allowing yourself to spam more abilities. When jungling make sure you have Pounce ready in case they try to gank you. Once you have two buffs you may gank to your hearts content but be weary, bad decisions lead to death which leads to feeding. This in turn will lead to a very unhappy cat so play smart, and don't make silly decisions such as chasing them into their towers when you aren't sure you can't get out.
By this time you should have the rest of the item build, which means you can pretty much assassinate every off-guard god you choose and destroy in 1v1 fights thanks you your cats. Grab some buffs and lift your team on your shoulders and carry as much as possible. Try to take out any of their remaining towers and focus on the ganking the weaker gods.
During a team fight what you want to do is wait for someone else to initiate and take that opportunity to use your Razor Claws on as many gods as you can. You should then focus on whomever is weaker/squishier/low on health - afterall you are a huntress! Choose you victim and use your Nine Tails and Cat Call then auto attack like crazy. Use your Pounce if they happen to get out of range of your auto attacks. If the fight gets too hot pounce back and run. Don't be a hero, go back home and be a family cat.
Gods I enjoyed pairing with were:
At lvl 4 Bastet doesn't need it. I feel that the 750 gold is better spent on Soul Eater to get the life steal so you can solo fire giant and gold fury late game. In my opinion it's best to just lane and get Purification Beads instead because you are gonna need it. However if you feel you are not able to work without HoG, by all means grab it as it is useful early game.
Bastet is very agile and can manuveur really well. Her Pounce can be used in many ways to escape a gank. You can simply jump away from harm or can jump into the forest from the side. If you're still being chased you can then pounce back as long as it's within 4 seconds. You'll obviously want to do it near the end of the 4 seconds in this case so that you maximise the distance of the pounce back.
If ganked near a tower run into the closest wall to a jungle camp, jump in and proceed to run towards mid.
Have teammate hold the fort and try to push another lane hard to ensure you keep the enemy team busy. Don't be too reckless though; if the enemy gods continue to push the lane without a phoenix then by all means port back and defend.
Against Anubis you'll want to get Purification Beads early so that when he does his Mummify > Death Gaze combo, you can use beads and jump into the forest. Always keep your Pounce available for this situation. If beads are down make sure you play very passively.
Try to keep the lane frozen at mid and farm a little. Make sure your lane partner is capable at holding the lane. Gank when the chance arises and keep you eyes open for buffs. Harass the tanks enough for their life to get at least close to less than half then grab blue and green and wait in the forest for them to get greedy or at least just push up your lane.
Thanks for reading this guide. I hope you enjoyed it and learned a little of gameplay for Kitty. Again this is just a general idea of how to play her if you have any advice or just want me to try something out for her feel free to leave your feedback. If you think I suck and that this guide blows... well then leave your feedback down below as well... jerk!
Start with lvl 1 of both Warrior Tabi and Soul Eater. Once you have enough gold finish off Warrior Tabi and then Soul Eater. After that just work on Qin's Blades. The next three items are interchangeable depending on your preference but this is my favorite build thus far.