I need to create several GIS based application and embed them on a web page for professional development. I need a cost effective solution and don't have big budget. Any help in right direction and to get started is appreciated (case study etc.).
[GIS] What do I need to create web based GIS application to show GTFS data
webweb serviceweb-mapping
Related Solutions
You can use GeoDjango on a shared server at http://www.alwaysdata.com (just check the features list and the prices: http://www.alwaysdata.com/plans/shared )
They have VERY competitive prices and you can even test the env for free.
They do the PostGIS configuration on their side and the installation of geoDjango so that you don't have to configure anything.
Just create a free account, then drop them an email to ask for installation of PostGIS on your account (create a PostGres DB first and give them its name). Their support is quite fast even for free account.
I know this because I did it for myself and I have a fully PostGIS / Django GIS environment working with alwaysdata.com (I can even remotely connect to my PostGIS db with QGis ;)
Look at GeoServer which will probably provide the solution you need out of the box and will provide plenty of code samples if you really need.
Best Answer
An answer a bit generic without more details.
An introduction to GTFS to read
You also need to import GTFS in database
For viewing, really depend but if no routing needed, just use you db to make SQL join from tables and export features to geojson (e.g PostGIS) if you need vector.
Consume this GeoJson with Leaflet or OpenLayers
If you need raster, use Geoserver or Mapserver to generate images from GTFS using WMS standard and consume it also from Leaflet or OpenLayers