So, first off, I want to make a caveat that despite the interest in LiIon battery re-use expressed implied by my sig, I don't consider myself anything more than an unevenly informed layman on the topic of LiIon batteries.
I asked about the chemistry because some are indeed safer than others. LiFEPO4 has 1/2 the energy density of the LiION cells typically used in consumer electronics, but is much less prone to thermal runaway from being discharged too quickly (something that can end up happening due to internal damage due to over charge/discharge). Historically consumer electronics batteries have typically been Lithium Cobalt Oxide, which have high energy density but also are prone to spectacular failure. Power tools have used Lithium Manganese Oxide, which is safer than Lithium-Cobalt, and supports high discharge rates, but has rather low energy-density. More recently, some consumer electronics have been using Lithium Nickle Cobalt Aluminum Oxide for highest energy density.
Yours are probably Lithium Cobalt Oxide, and your choices for one-off purchase of pouch cells ("LiPoly") will probably be limited to the same + LiFePo4.
There are two major risks when using cells in series.
The first is that any imbalance in capacity, state of charge or internal resistance between cells can lead to a cell dropping below a safe internal voltage, which can lead to damage. That damage can reduce the capacity of that cell and increase internal resistance, increasing the likelihood of further damage in the future. It can also result in formation of bits of metallic copper which can lead to spontaneous overdischarge, thermal runaway and spectacular failure.
The second is that differences in capacity and state of charge can result in overcharge of a cell. An overcharged cells can suffer from reduced capacity and increased internal resistance, which, again, can lead to further damage during future charge/discharge cycles.
Over time, this can result in some really f'ed up situations. I took apart a bunch of Dell packs where a majority of the cells had reversed polarities, with others at nearly full charge. There were also packs that seemed to be at a safe discharge voltage, but actually contained two series cells near full charge, and one at a reversed polarity. Now, these packs had cell balancing circuits, but something was clearly defective. They were also intact, but it may that I just got the ones that didn't burn up
To avoid these problems, designers use a combination of approaches. To start they use cells with closely matched capacities and internal resistance. To that is added top-balancing cells during charging, cutting off discharge if the discharge rate is too high, and cutting off discharge if one of the cells drops below threshold voltage.
In your case, getting a pouch cell pack that already includes two matched cells in a series is a good start. Confirm that they are balanced, and adjust them if they aren't. Then, limit your discharge to a carefully chose threshold voltage. To choose the threshold, find the manufacturers minimum discharge voltage and internal resistance specification and tolerance. Then figure out your maximum current draw and calculate the internal resistive loss at your max load, and at the limits of the IR spec tolerances. Use that to figure out your possible error in predicting the voltage of an individual cell based on the voltage of the series under load if internal resistance. Add your own safety margin. Adjust your discharge threshold upward to account for this.
Doing so should start you out in the best possible position, and keep you safely away from the conditions that are likely to result in a death-spiral.
Someone with actual experience probably has better advice though, but at the very least, I hope I've provided more context for understanding the tradeoffs.