I can build your system using good techs (Django 1.11, python 3, Postgresql database); with responsive design. My code is clean and follow PEP-8 specs. Progress could be showed every other day.
Relevant Skills and Experience
One year using Django framework (from 1.8 to 1.11 versions), with Postgresql, Mysql and Sqlite databases. My knowledge include frontend techs, Git, Linux, Networking.
Proposed Milestones
$100 USD - General design, Database design, log-in and sig-in functionalities
$200 USD - Configure settings and edit personal info
$400 USD - Calendar, Register and list properties, Make an offer, List of offers
$350 USD - Chat and payment
$150 USD - Documentation about system, database structure and guide to deployment
Additional Services Offered
$20 USD - Deployment and configuration of website
Well, details about offer process and payment platform can be clarified when bid is chosen.