PHP website using API needed to speed up. There is Coding Issue

Job ID: 33871360

Budget: $30 – $250 USD

Domain: homelodgers.com
Searches are going via API and pages after search are taking forever to load.
We are using API of uniacco.com and their searches are superfast.
Need to match their search speed and also need to correct URL heading after searching.
Solutions will be appreciated.
Not willing to spend more than $100.
Related categories: PHP MySQL API