The verdict
For a small software team selling worldwide, I would pick Polar. The setup is a checkout link, a webhook and a few lines of code, you can start with no monthly fee, and you do not run tax compliance yourself. The trade-off is a percentage plus a fixed amount on each sale.
Pick Chargebee if you have a finance or revenue team, custom enterprise terms, quotes for larger deals, or a need for revenue recognition, and you want to keep your own gateway. Be ready to own the tax side.
If you want to be the seller of record yourself, skip Polar. If your billing is a few flat plans, skip Chargebee.