Seeking Advice on PSP for Cross-Border Payment Services

Hello everyone, I'm looking for an efficient Payment Service Provider (PSP) for receiving payments from international customers for my e-commerce business. Currently, I'm facing issues with high fees and a lengthy KYC/onboarding process with my current provider, which sometimes delays business opportunities.

I'd like to ask those with experience if anyone has used a PSP that meets the criteria of reasonable fees, straightforward API integration, and most importantly, reliable and timely payouts, especially for major currencies like $USD or $EUR. Sometimes the currency conversion fees are also a concern. I don't necessarily need specific company names, just advice on what to focus on when choosing, or any particular features that should be prioritized. Thanks in advance for your advice.