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Capacity (Milli Amp Hour) can vary (larger mah rating = larger capacity = larger physical size). C refers to the rate at which the battery can be discharged. To get the discharge rate, take the C rating then multiply it by 100th the mah rating to get the maximum constant amps (eg: .550(550mah/100)x75c = 41.25a capable discharge). Since this RC car doesn't require extreme power from the battery, any battery 25c or above should work fine. The one thing you really don't want to change is the battery cell count. LiPo batteries are made of multiple cells wired in series to add their voltages together. You need to use a 2 cell battery for this car as the motor won't turn on one cell and may catch fire on three cells. Here's a good battery that's in stock: https://www.banggood.com/custlink/3mDK37Qs7n In terms of charging, to keep things simple and cheap, I would just get a charger like this one: https://www.banggood.com/custlink/GK3v3fbbf2
Hope this helps and let me know if you have any other questions!