"propose a reform of" is a correct and usable phrase in written English.
It means to suggest or recommend changes to current practices or systems in order to improve them. Example: The politician plans to propose a reform of the tax system in order to make it more fair for middle-class families.
Over ten years ago, I proposed a reform of the supreme court that would expand it to 19 members.
In January 2012, the European Commission proposed a reform of data protection, which was adopted by the European parliament just over a year later.
As a result, he proposed a "reform" of the courts that would, among other things, have added an additional justice to the Supreme Court for every current justice over the age of 70.
In the mid-1990s, his agency proposed a reform of the rules governing how many hours a pilot could work, but there was no consensus in the industry and the proposal languished.
Slaughter further proposed a reform of the penal system and recommended internal improvements, including the creation of a state library.
Later that year Zamoyski proposed a reform of the royal elections, which failed to pass the Sejm.
Some countries had proposed a reform of corporate income tax whereby companies would be taxed where their customers were based, but the group did not accept this idea.
In 1952 the report of the Nathan Committee advocated reform, and the government published a White Paper on "Government Policy on Charitable Trusts in England and Wales" in 1955, which proposed a reform of the Statutory Lists system.
The new emir, Hamad bin Isa Al Khalifa, proposed a reform plan, the National Action Charter of Bahrain, which was accepted by the opposition and later gained widespread popular support.
Since no one is proposing a reformed House of Lords should have more power, it should clearly have a different composition from the Commons.
