The new network upgrades of Ethereum 2.0 (also known as Eth2 or Serenity) should ultimately address some of the gas fee issues, which will, in turn, enable the platform to process thousands of transactions per second and scale globally.
Layer 2 scaling is a primary initiative to greatly improve gas costs, user experience and scalability. More on layer 2 scaling.
The new proof-of-stake model, introduced on the Beacon Chain, should reduce high power consumption and reliance on specialized hardware. This chain will allow the decentralized Ethereum network to agree and keep the network secure, while limiting energy consumption by instead requiring a financial commitment.
Anyone with at least 32 ETH can stake them and become a validator responsible for processing transactions, validating blocks, and proposing new blocks to add to the chain. Users who have less than 32 ETH can join staking pools.
If you are looking to reduce gas costs for your ETH, you can set a tip to indicate the priority level of your transaction. Miners will 'work on' and execute transactions that offer a higher tip per gas, as they get to keep the tips that you pay and will be less inclined to execute transactions with lower tips set.
If you want to monitor gas prices, so you can send your ETH for less, you can use many different tools such as:
Etherscan Transaction gas price estimator
Blocknative ETH Gas Estimator Gas estimating Chrome extension supporting both Type 0 legacy transactions and Type 2 EIP-1559 transactions.
ETH Gas Station Consumer oriented metrics for the Ethereum gas market