This is the dimension that matters most day-to-day. HMOs usually limit coverage to in-network providers and generally don't cover out-of-network care except emergencies. That can be a real advantage when the network is strong locally, because the plan can negotiate rates and streamline how care is delivered.
The downside is obvious: if your preferred specialist, children's hospital, or nearby urgent care is out of network, you may be paying far more than you expected. PPOs also have a network, but they typically give you the option to go outside it for covered services—usually with higher deductibles, higher coinsurance, and potentially extra exposure if the provider can bill above the plan's allowed amount.
EPOs, by definition, cover services only if you use in-network doctors, specialists, and hospitals (except in an emergency). In other words, an EPO can feel easy like a PPO when you stay in network, but it won't protect you the way a PPO can if you knowingly choose an out-of-network specialist.