I recently came across Flourish, a data visualisation tool that makes things easy and can be used even if your programming skills are a bit rusty. The tool is the brainchild of studio Kiln, who have made the tool entirely web-based and they even offer a free public version.
Starting up is easy as you are encouraged to use templates and can upload your data from a CSV or Excel. Some of the templates offer the usual scatterplots and bar charts, but you also have things like Sankey diagrams or 3D globe maps. If you are interested you can also create your own custom templates.
Flourish’s free version allows you to publish and share visualisations, or to embed them in your website. Beware that the data will be visible to everyone once you publish. Give it a go and let me know what you think.