Including many payment methods can help the user choose the one that fits them best, but can also be overwhelming and a pain to set up. So please try to use as few different payment gateways as possible. Officially, libreevent supports Stripe and Payrexx. More payment gateways might come in the future as a plugin which can be installed by following our guide here
Payrexx is a Swiss, lesser known payment gateway and it is not ideal for you if you expect to have a low sales volume, as their basic plan costs you EUR 15 a month. If your sales volume is fairly high, it may be worth it as their per-transaction fees are quite a bit lower than Stripe's and they offer more payment options. See payrexx pricing here and sign up here. You can find a full list of supported payment methods here
Stripe is one of the most well known payment gateways out there and it is really easy to get started. See all their payment methods here. If you choose to use Stripe, you may follow their guides on how to set up more payment options here See here for pricing information and sign up here