There's differing levels of classes, but the Muay Thai Kickboxing, boxing and basic gym membership is around 69 or 79 a month. Best thing is try a week (ask for week and a half) trial. You'll be swore so plan that into your trial schedule. Prices go up if your into competitive Muay Thai, Jujitsu, etc. There are for the more "serious" workouts where you need mouthgards, headgear, etc and practice sparring within the boxing ring.
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Awgee, you can work out without getting hit, but since their routines change daily sometimes you practice on a Muay Thai competitor or UFC fighter. You get to practice hitting them and they practice rolling the punches. Other times you practice slowly punching against each other, but it's not like you're going full throttle. More like 1/4 speed so that you don't hit your partner. Of course, sometimes it's all bag work. Because the routines change often, and they are real Muay Thai fighters tthat are teaching the classes, it's a whole lot better than some "certified trainer" at a "club" trying to show people how to kickbox in front of a mirror. there's no replacement for actually hitting the 70lb bag and being able to actually properly use your body weight against it.
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LA fitness does a lot of month to month memberships, that's one of their selling points in flexibility.