Ecommerce SEO - Any recommendations?

What is the point of your post? Got bored and decided to go trolling? I have learned a lot from forums like this and others, and based on the name and description of this section, that is the point behind it. Good to hear that you know everything when it comes to SEO and do all of your own linkbuilding by hand, but most don't, and for that reason come here to pick the brains of others.

I am seeking suggestions...not criticism. If you can help, please offer your recommendations.

Since you're experienced you must realize that it's pretty hard to operate without seeing the actual site, and preferably also some accurate SERP positions. This info is better than nothing. You're right - ecommerce sites are a bit different in some areas.

I don't know if the on-page is any good, and unfortunately I trust no-one on that. You see people on this forum who claim to have everything optimized, but lack h1 titles or some other major element. If you're a seasoned vet you're probably not making the most silly mistakes on this front.

Some modern systems have microdata/schema.org definitions out of the box. Those may or may not help. I know SEO operators who insist on having them implemented.

I find it likely that you've got a lot of competition no matter where the site is targeted. This might be obvious, but if you've got good competitors you can try to learn from them. What kind of backlinks do they have? What's the site structure - individual pages, listings, front page? Do they have some kind of marketing deals or affiliations you can spot? Etc.

Content is often a huge problem for ecommerce sites. It might come from the manufacturer, or just be as dull as dishwater. Both of these make it hard to get spontaneous links from blogs and other good link sources. The best ecommerce sites I know use humor or good writing to set themselves apart from the masses. One shop I follow has repeatedly trolled their way to local newspapers with product titles and descriptions that are delightfully tasteless. I'm sure that particular trick doesn't work for you, but being cutesy and appealing to emotions just might. The downside? This is fairly labour intensive and requires a copywriter who can hit just the right notes.

Depends on what you mean by these individual methods. If it's the bulk variant these are probably not very effective. Article marketing, for example, is the recommended SEO gimmick of the yesteryear. It still works if your articles appear on genuine sites, but most IM marketers try to game the system by using article farms. The same goes for press releases.

Social signals are not directly SEO. Some sites are easier for Google to spider, but others are just hopeless. Pinterest and Google+ are among the better ones. You can also run your Pinterest account so that you're essentially promoting products.

I'd try some sort of blogger outreach to get the mommy bloggers and other players in the right niche. Of course not the easiest thing to do, and probably requires some incentive for them to even consider. I'd also have social media presence in Facebook at least.

See if there are mommy forums in your language / area and if they can help you in any way. I'd rather go for sponsored messages and links than do any spamming or astroturfing, but of course it depends on that particular forum.