Using a search engine like Google, search for your proposed blog or website name. Does your search show any sites with similar domain names? If it does, try a different name. Giving your website a name that's similar to other existing sites is the first step to failure. Also, don't choose names that are plural or misspelled versions of existing sites.
The blog feature is the most flexible we’ve seen. You can create all sort of layouts and use all the available elements (e.g. galleries, contact forms, video integration, etc) and have blogging features (e.g. tags, categories, comments, etc), excellent for publishing posts. It also boasts an integrated video and audio player (Pro plan only). Check out our direct comparison: Weebly vs WordPress.
I am biased towards WordPress, just FYI. I train new bloggers and website owners (non-profits and small businesses, etc) in setting up WordPress.org with an SSL and I do it in an 8-hour class. My point being I recommend you setup: 1) WordPress.org NOT WordPress.com; 2) Go with 1and1.com “Unlimited” + SSL (costs about $62 for 12 months, includes: domain name, SSL Certificate + web hosting). This will get you a web hosting account with a domain name, SSL and 1-year of web hosting for the cost of a SSL Certificate (most are $60+). Why SSL? because your site will display https and you can process online payments using Stripe.com (Payment processor similar to PayPal, Authorize.net, etc). I have setup at least 6 of these accounts exactly like this for attendees and clients. This will work for you and it will not have any ads popping up unless you put them there. Any questions just reply.
I agree with you that Pulse CMS offers an interesting way to go, without databases. Before moving all my sites to WP over the past two years, I had always felt reluctant to use databases: but testing WP had convinced me to go ahead. Although I do not use it at this point (I played a little bit with previous versions), I bought a Pulse CMS license, if only in order to support that interesting project. I do not rule out using it for a site some day, at least experimentally.