Yeah i understand from some of previous BBCWatcher sharing that he doesn't recommend Whole life vs term and investing the rest.
I wouldn't and don't buy life insurance (insurance that pays a death benefit) with kids as policyholders, not in this era. That made a little sense in the past when children were "pension programs" for parents and grandparents, so the death of a child or grandchild effectively meant a loss of elder support. Life insurance on a kid was often insurance against losing a farm worker on the family farm. Not in modern Singapore or in other developed countries, at least.
Insurance salespeople argue that you should buy life insurance for a child because the child might be uninsurable in the future. I think that's an extremely weak argument for reasons I've described in fair detail elsewhere.
CI, ECI, PA, and TPD insurance coverage is a little more arguable I suppose (and sometimes it's cheaper bundled with the minimum available death benefit your child's survivors don't need), but I'm still not a fan. I think the primary goal is to defend against possible big medical bills your child might incur, and generally a public hospital Integrated Shield plan does that rather well — with an emphasis lately on the ones with better cancer coverage than others. Long-term or permanent disability is obviously a concern, but the CI/ECI/PA/TPD "cocktail" doesn't do such a good job addressing that class of risks. DII is obviously better targeted, but it's only available when your child starts working. CareShield Life kicks in from age 30 (if your child is a Singaporean citizen or SPR, seriously disabled, and retains their status through their 30th birthday and beyond). So I have very mixed feelings about the CI/ECI/PA/TPD cocktail. If you're going to go this route I'd pick a reasonable term (to age 65, or to age 70 if it's the group program since that's how that works) and the minimum possible death benefit if you have to "bundle" the "cocktail" with a death benefit to get a lower price on the cocktail. I believe a child of a parent who's eligible for a Singlife group plan (MINDEF/MHA or POGIS) can get a "cocktail" policy for a child that way, so take a look at that option if it's available and if you insist on such coverage.
Either way, please diligently save and prudently invest for yourself and for your child and his/her future needs. For example, you can do what I did (am doing) for all nieces, nephews, and children: start a higher education fund as each is born. Put $X into the fund each month (or quarter), and invest it in low cost and prudent fashion. It doesn't necessarily need to be in separate accounts, although in my situation for some peculiar reasons that made sense. This is working really well; parents and kids are delighted.