To start with travel photography, you need to understand your needs and interest. If you are just looking for photographs to place on your blog, no need to go for even photography. You can find those photographs online and can buy as per your requirements.
But if it is your hobby and want to take this seriously, i recommend start with basic DSLR from Canon (checkout Canon 550D) with basic 18-55 lens. If budget is high, you can consider some wide angle lens. (for lenses, i recommend reviewing various rage of Sigma lenses - low cost solutions with best quality result).
I have been using nikon DSLR D5000 with Sigma APO DG 70-300 lens since last 6 month and very happy with result.
all the best