It all depends on your personal circumstances, what you are trying to accomplish and your overall estate planning needs:
1. The group term life available through your employer will be the cheapest coverage. I don't necessarily think it's something you should avoid, as it can play a part in your overall estate planning. It can provide you with additional coverage during the years when your children are young, which is when the surviving parent would most need financial assistance and when mortgages and other obligations are highest. The thing to keep in mind is it ends when employment ends, it's not something that is going to be there to cover burial expenses as you're not likely to die while working and cash in on it. If employment is tenuous it could also delay you from getting proper term coverage until you reach an age when it's not as cheap. But if your type of work and work history would suggest that you can reasonably keep term life available, it's cheap and can supplement other coverage during the heavy obligation years.
2. Another thing to consider is your objectives with insurance. If you are trying to cover burial expenses, if you are trying to protect the family during the early years, if you are trying to shift wealth (leave an inheritance) for your survivors. Different types of insurance, term, whole life, universal life or some combination of the three. Term insurance is cheapest, does not accumulate a cash value, and is usually for specified "term" so it may end before you really need it or can be part of a strategy to provide additional coverage during a specified period of time. Level premium whole life is permanent coverage, much more expensive but if you take it now when you are young at an affordable level premium, it is appropriate for funeral expenses. Universal or variable premium coverage is tricky because the mortality charges go up as you age so if the market doesn't do well it can become unaffordable once you retire, again when you most need it.
3. If you are looking to provide an inheritance or even family protection during the family years, you might want to consider an Irrevocable Life Insurance Trust which could let the benefits of your policy be exempt from estate taxes meaning more $ available to your family. ILET's have specific legal requirements and would usually be funded by permanent whole or semi permanent variable coverage although it's not impossible to have term coverage inside of an ILET. It would probably just be longer term, more expensive coverage.
4. Whatever you choose, look for a carrier with an A+, A or A- Best rating. You want to make sure the carrier is financially strong and will be around to pay the death benefit. Work through an agent, preferably one that is also licensed as a financial counselor and get a number of quotes.
Good luck!