Redundant use of Keywords in H1, H2 & H3 tags or better to use LSI??

Over use of keywords in H1 is not good. Could be looked upon
as keyword stuffy. If you have multiple sections requiring H1
headings, no problem. If you just have multiple H1 headings to
get that keyword in, don't do it.

Ideally each article would have an H1 heading, followed by H2, H3, if
needed as subheadings. I do that frequently.

LSI would be built in if you are doing articles as real articles,
not articles to keyword stuff. LSI is not an exact science, and
nothing I would worry about if I was writing decent content
as a normal writer would write.

Using the same H1 heading over and over could pigeon hole
your site and it won't rank as well for real world searches using
long tail or similar keywords.

Paul

Try using the wonder wheel to find some related topics and use those if you feel you are getting to be too repetitive.

Focus on the content itself first, to ensure it makes sense, and answers the search better than your competitor's page, then follow these basic guidelines...

1) Your Title is the most important part of your page. Make sure it contains your keywords in the beginning, followed by your site name (optional). Its the single most important factor in getting someone to click through to your site from the search results page and is very high on the list of ranking factors for your page.

2) Your meta description is important in that it is usually what is used as the text snippet that appears under your page title and can help convince the user to click your link. Google may decide to bypass your meta description and instead pull content from your post that it finds more useful for the searcher. It has absolutely zero importance in your ranking however. Nor does your "keywords" metatag.

3) The H1 tag on your page is extremely important. Make sure you include one. Most SEO optimized themes automatically include your post title in the h1 tag.

4) Pay special attention to the first link that appears inside your content, google does. Its best if its an internal link to another post in the same category as the post it appears on.

5) Adding LSI keywords into your content helps to give your page legitimacy and authority.

6) Don't stress too much over keyword density, but make sure its at least 2% and no more than 8%

7) Adding h2 and h3 headings (containing your keyword phrase) as well as having your keyword at the beginning and the end of your content has been shown to be very effective as well.

You can keep track of all of these factors in your head and do it manually with each page you publish or you can use an automated tool that does it for you.

Just you can target one or two keywords for a web page to get the best result. Also include that keyword in the title tag, description, meta tag, content 2 to 3 times, anchor tags, and build some quality links for that particular keyword to rank well in search engines.