Can I increase breaker size to prevent trips when using appliances?
No!
Circuit breakers aren’t chosen arbitrarily, or for fun. They are chosen so you don’t overload the wiring and devices (switches, receptacles, etc) in the circuit. If you swap in a larger breaker you seriously risk setting your wiring on fire and burning down your house.
Specifically, all - all! - the wire in a circuit would have to be 12 Ga and all the devices would have to be rated for 20A to make that swap. Any 14 Ga wire at all, and you can’t.
The correct action is to move loads to a different circuit (either existing or new) so you don’t overload it.