When looking for synonyms for the phrase "improve cultural facilities", there are several options available. Firstly, you could use the phrase "enhance cultural amenities" to convey a similar meaning. This would suggest that you are seeking to make cultural facilities better or more appealing to visitors. Another alternative could be "develop cultural infrastructure", which implies that you are looking to build or create new cultural facilities from scratch. Alternatively, you could use the phrase "boost cultural resources" to suggest that you are seeking to increase funding or resources for existing cultural facilities. Whatever synonym you choose, it is important to consider the context in which it will be used and ensure that it accurately reflects your intended meaning.